Personkort bilde

Lukkassen, Dag

Professor Institutt for datateknologi og beregningsorienterte ingeniørfag
Engelsk flaggikon Samisk flaggikon

  • Høibakk, Ralph; Lukkassen, Dag; Meidell, Annette; Persson, Lars Erik. A New Development of the Classical Single Ladder Problem via Converting the Ladder to a Staircase. Mathematics 2021. ISSN 2227-7390.s doi: 10.3390/math9040339.

  • Høibakk, Ralph; Lukkassen, Dag; Meidell, Annette; Persson, Lars Erik. A New Look at the Single Ladder Problem (SLP) via Integer Parametric Solutions to the Corresponding Quartic Equation. (https://www.mdpi.com/2227-7390/8/2/267/htm) Mathematics 2020; Volum 8 (2). ISSN 2227-7390.s 1 - 21.s doi: 10.3390/math8020267.

  • Akishev, Gabdolla; Lukkassen, Dag; Persson, Lars Erik. Some new Fourier inequalities for unbounded orthogonal systems in Lorentz-Zygmund spaces. (Fulltekst: https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-020-02344-6 Journal of Inequalities and Applications 2020; Volum 2020:77. ISSN 1025-5834.s 1 - 12.s doi: 10.1186/s13660-020-02344-6.

  • Lukkassen, Dag; Persson, Lars Erik; Tephnadze, George; Tutberidze, Giorgi. Some inequalities related to strong convergence of Riesz logarithmic means. (Fulltekst: https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-020-02342-8 Journal of Inequalities and Applications 2020; Volum 2020:79. ISSN 1025-5834.s 1 - 17.s doi: 10.1186/s13660-020-02342-8.

  • Lukkassen, Dag; Meidell, Annette. Lars-Erik Persson - the remarkably broad and innovative mathematician and unique Pers(s)on. (Omtale: http://nonlinearstudies.com/index.php/nonlinear/article/view/2079) Nonlinear Studies 2019; Volum 26 (4). ISSN 1359-8678.s 707 - 722.

  • Høibakk, Ralph; Lukkassen, Dag; Meidell, Annette; Persson, Lars Erik. On some power means and their geometric constructions. Mathematica Æterna 2018; Volum 8 (3). ISSN 1314-3336.s 139 - 158.

  • Høibakk, Ralph; Lukkassen, Dag; Persson, Lars Erik; Meidell, Annette. On geometric construction of some power means. (Omtale: http://www.nonlinearstudies.com/index.php/nonlinear/article/view/1811) Nonlinear Studies 2018; Volum 25 (4). ISSN 1359-8678.s 921 - 932.s doi: 10.3390/math6110251.

  • Høibakk, Ralph; Lukkassen, Dag; Meidell, Annette; Persson, Lars Erik. Geometric Construction of Some Lehmer Means. Mathematics 2018; Volum 6 (11). ISSN 2227-7390.s doi: 10.3390/math6110251.

  • Lukkassen, Dag; Meidell, Annette; Pettersson, Klas. A local-effective relation in planar linear elasticity. (http://dx.doi.org/10.1080/15376494.2016.1201178) Mechanics of Advanced Materials and Structures 2017; Volum 24 (12). ISSN 1537-6494.s 999 - 1006.s doi: 10.1080/15376494.2016.1201178.

  • Lukkassen, Dag; Persson, Lars Erik; Samko, Stefan G.. Some sharp inequalities for integral operators with homogeneous kernel. Journal of Inequalities and Applications 2016; Volum 2016 (114). ISSN 1025-5834.s doi: 10.1186/s13660-016-1037-9.

  • Lukkassen, Dag; Persson, Lars Erik; Samko, Stefan G.; Wall, Peter. Some sharp inequalities for multidimensional integral operators with homogeneous kernel: An overview and new results. Mathematical Inequalities & Applications 2016; Volum 19 (2). ISSN 1331-4343.s 551 - 564.s doi: 10.7153/mia-19-41.

  • Lukkassen, Dag; Persson, Lars Erik; Samko, Natasha. Hardy Type Operators In Local Vanishing Morrey Spaces On Fractal Sets. Fractional Calculus and Applied Analysis 2015; Volum 18 (5). ISSN 1311-0454.s 1252 - 1276.s doi: 10.1515/fca-2015-0072.

  • Lukkassen, Dag; Meidell, Annette; Wall, Peter. On the role of homogenization in lubrication theory. American Institute of Physics (AIP) 2014; Volum 1637 (.) ISBN 978-0-7354-1276-7. ISSN 0094-243X.s 1170 - 1176.s doi: 10.1063/1.4904671.

  • Lukkassen, Dag; Meidell, Annette; Seger, Andreas. on the torsion problem for anisotropic periodic plate structures. American Institute of Physics (AIP) 2014; Volum 1637 (.) ISBN 978-0-7354-1276-7. ISSN 0094-243X.s 976 - 981.s doi: 10.1063/1.4904671.

  • Lukkassen, Dag; Meidell, Annette; Myrvoll, Hermann. Optimal stiffness design of sandwich plates with variable core densities. American Institute of Physics (AIP) 2014; Volum 1637 (.) ISBN 978-0-7354-1276-7. ISSN 0094-243X.s 691 - 696.s doi: 10.1063/1.4904640.

  • Lukkassen, Dag; Meidell, Annette. Some engineering and mathematical aspects in the design of heavy goods railway lines. American Institute of Physics (AIP) 2014; Volum 1637 (.) ISBN 978-0-7354-1276-7. ISSN 0094-243X.s 616 - 620.s doi: 10.1063/1.4904631.

  • Lukkassen, Dag; Meidell, Annette. Beams on nonlinear elastic foundation. American Institute of Physics (AIP) 2014; Volum 1637 (.) ISBN 978-0-7354-1276-7. ISSN 0094-243X.s 656 - 662.s doi: 10.1063/1.4904636.

  • Lukkassen, Dag; Persson, Lars Erik; Samko, Stefan; Wall, Peter. Weighted Hardy-Type Inequalities in Variable Exponent Morrey-Type Spaces. Journal of Function Spaces and Applications 2013; Volum 2013. ISSN 0972-6802.s doi: 10.1155/2013/716029.

  • Lukkassen, Dag; Høibakk, Ralph; Meidell, Annette. Nonlinear laminates where the effective conductivity is integer valued. Applied Mathematics Letters 2012; Volum 25 (6). ISSN 0893-9659.s 937 - 940.s doi: 10.1016/j.aml.2011.10.039.

  • Lukkassen, Dag; Persson, Lars-Erik; Samko, Stefan. Weighted Hardy Operators in Complementary Morrey Spaces. Journal of Function Spaces and Applications 2012. ISSN 0972-6802.s doi: 10.1155/2012/283285.

  • Lukkassen, Dag; Meidell, Annette. On Heat Conduction in Domains Containing Noncoaxial Cylinders. International journal of mathematics and mathematical sciences 2012. ISSN 0161-1712.s doi: 10.1155/2012/856927.

  • Lukkassen, Dag; Meidell, Annette; Persson, L; Samko, N. Hardy and singular operators in weighted generalized Morrey spaces with applications to singular integral equations. (Sammendrag: http://onlinelibrary.wiley.com/doi/10.1002/mma.2532/abstract) Mathematical methods in the applied sciences 2012; Volum 35 (11). ISSN 0170-4214.s 1300 - 1311.s doi: 10.1002/mma.2532.

  • Lukkassen, Dag; Meidell, Annette. Generalized Chessboard Structures Whose Effective Conductivities Are Integer Valued. (Fulltekst: http://www.hindawi.com/journals/jam/2012/874239/ Journal of Applied Mathematics 2012; Volum 2012. ISSN 1110-757X.s Artikkel ID - 874239.s doi: 10.1155/2012/874239.

  • Lukkassen, Dag; Mauseth, Guy Beeri; Meidell, Annette; Pettersson, Klas. Estimates of the Vigdergauz constants for regular triangular honeycombs. Composites Part B: Engineering 2012; Volum 43 (2). ISSN 1359-8368.s 375 - 380.s doi: 10.1016/j.compositesb.2011.05.035.

  • Lukkassen, Dag; Meidell, Annette; Wall, Peter. Analysis of the effects of rough surfaces in compressible thin film flow by homogenization. International Journal of Engineering Science 2011; Volum 49 (5). ISSN 0020-7225.s 369 - 377.s doi: 10.1016/j.ijengsci.2010.10.005.

  • Lukkassen, Dag; Meidell, Annette; Wall, Peter. Homogenization of a Class of Nonlinear Variational Inequalities with Applications in Fluid Film Flow. Chinese Annals of Mathematics. Series B 2011; Volum 32 (3). ISSN 0252-9599.s 417 - 434.s doi: 10.1007/s11401-011-0643-6.

  • Lukkassen, Dag; Meidell, Annette; Wall, Peter. A New Approach for Estimating the Friction in Thin Film Lubrication. Mathematical problems in engineering 2010; Volum 10. ISSN 1024-123X.s doi: 10.1155/2010/963983.

  • Lukkassen, Dag; Meidell, Annette; Persson, Lars Erik. Nonlinear variational methods for estimating effective properties of multiscale materials. Springer 2010 ISBN 978-1-4419-0157-6.s 367 - 414.

  • Lukkassen, Dag; Meidell, Annette; Piatnitski, Andrey; Shamaev, Alexey. SYMMETRY-RELATIONS FOR ELASTICALLY DEFORMED PERIODIC ROD-STRUCTURES. Mathematical Models and Methods in Applied Sciences 2009; Volum 19 (4). ISSN 0218-2025.s 501 - 525.

  • Bremner, Andrew; Høibakk, Ralph; Lukkassen, Dag. Crossed ladders and Euler's quartic. Annales Mathematicae et Informaticae 2009; Volum 36. ISSN 1216-6014.s 29 - 41.

  • Høibakk, Ralph; Lukkassen, Dag. Power means with integer values. Elemente der Mathematik 2009; Volum 64. ISSN 0013-6018.s 122 - 128.

  • Lukkassen, Dag; Nguetseng, Gabriel; Nnang, Hubert; Wall, Peter. Reiterated homogenization of nonlinear monotone operators in a general deterministic setting. Journal of Function Spaces and Applications 2009; Volum 7 (2). ISSN 0972-6802.s 121 - 152.

  • Lukkassen, Dag; Meidell, Annette; Wall, Peter. Homogenization of some variational problems connected to the theory of lubrication. International Journal of Engineering Science 2009; Volum 47 (1). ISSN 0020-7225.s 153 - 162.s doi: 10.1016/j.ijengsci.2008.08.006.

  • Wall, Peter; Lukkassen, Dag; Meidell, Annette. New methods for estimating the torsional rigidity of composite bars. International Journal of Engineering Science 2009; Volum 47 (4). ISSN 0020-7225.s 524 - 536.s doi: 10.1016/j.ijengsci.2008.09.001.

  • Lukkassen, Dag; Meidell, Annette; Piatnitski, Andrey; Shamaev, Alexei S.. Twisting a thin periodically perforated elastic rod. Applicable Analysis 2009; Volum 88 (10-11). ISSN 0003-6811.s 1563 - 1577.s doi: 10.1080/00036810903042216.

  • Lukkassen, Dag; Meidell, Annette; Wall, Peter. On the conjugate of periodic piecewise harmonic functions. Networks and Heterogeneous Media 2008; Volum 3 (3). ISSN 1556-1801.s 633 - 646.

  • Meidell, Annette; Høibakk, Ralph; Lukkassen, Dag; Beeri, Guy. Two-component composites whose effective conductivities are power means of the local conductivities. European journal of applied mathematics 2008; Volum 19. ISSN 0956-7925.s 507 - 517.

  • Lukkassen, Dag; Meidell, Annette. Effective properties of some new self-similar structures. Applicable Analysis 2008; Volum 87 (12). ISSN 0003-6811.s 1297 - 1310.

  • Chechkin, Gregory A.; Lukkassen, Dag; Meidell, Annette. On the Sapondzhyan-Babuska Paradox. Applicable Analysis 2008; Volum 87 (12). ISSN 0003-6811.s 1443 - 1460.

  • Beeri, Guy; Lukkassen, Dag; Meidell, Annette. Estimating the Vigdergauz constants for regular hexagonal honeycombs. Composites Part B: Engineering 2008; Volum 39 (07.aug). ISSN 1359-8368.s 1233 - 1239.

  • Høibakk, Ralph; Lukkassen, Dag. Crossed ladders and power means. Elemente der Mathematik 2008; Volum 63. ISSN 0013-6018.s 137 - 140.

  • Lukkassen, Dag; Meidell, Annette; Wall, Peter. Multiscale homogenization of monotone operators. Discrete and Continuous Dynamical Systems. Series A 2008; Volum 22 (3). ISSN 1078-0947.s 711 - 727.

  • Lukkassen, Dag; Meidell, Annette; Wall, Peter. Mathematical analysis and homogenization of the torsion problem. Journal of Function Spaces and Applications 2008; Volum 6 (2). ISSN 0972-6802.s 155 - 176.

  • Lukkassen, Dag; Persson, Lars-Erik; Sierpinska, Anna. Some aspects of web-courses in mathematics based on PC screen recorded video lectures. Nordisk matematikkdidaktikk 2007; Volum 12. ISSN 1104-2176.s 51 - 70.

  • Almqvist, Andreas; Lukkassen, Dag; Meidell, Annette; Wall, Peter. New concepts of homogenization applied in rough surface hydrodynamic lubrication. International Journal of Engineering Science 2007; Volum 45. ISSN 0020-7225.s 139 - 154.

  • Lukkassen, Dag; Meidell, Annette; Wall, Peter. Bounds on the effective behavior of a homogenized generalized Reynolds equation. Journal of Function Spaces and Applications 2007; Volum 5 (2). ISSN 0972-6802.s 133 - 150.

  • Lukkassen, Dag; Wall, Peter. Two-scale convergence with respect to measures and homogenization of monotone operators. Journal of Function Spaces and Applications 2005; Volum 3 (2). ISSN 0972-6802.s 125 - 161.

  • Lukkassen, Dag; Peetre, Jaak; Persson, Lars-Erik. On some iterated means arising in homogenization theory. Applications of Mathematics 2005; Volum 49. ISSN 0862-7940.s 343 - 356.

  • Englis, Miroslav; Lukkassen, Dag; Peetre, Jaak; Persson, Lars-Erik. On the formula of Jaques-Louis Lions for reproducing kernels of harmonic and other functions. Journal für die Reine und Angewandte Mathematik 2004; Volum 570(2004). ISSN 0075-4102.s 89 - 129.

  • Englis, Miroslav; Lukkassen, Dag; Peetre, Jaak; Persson, Lars-Erik. On the formula of Jacques-Louis Lions for reproducing kernels of harmonic and other functions. Journal für die Reine und Angewandte Mathematik 2004; Volum 570. ISSN 0075-4102.s 89 - 129.

  • Lukkassen, Dag; Meidell, Annette; Vigdergauz, Shmuel. On the elastic deformation of symmetric periodic structures. Quarterly Journal of Mechanics and Applied Mathematics 2003; Volum 56 (3). ISSN 0033-5614.s 441 - 453.

  • Berggren, Stein A.; Lukkassen, Dag; Meidell, Annette; Simula, Leon. Some methods for calculating stiffness properties of periodic structures. Applications of Mathematics 2003; Volum 48 (2). ISSN 0862-7940.s 97 - 110.

  • Chechkin, Gregory A.; Jikov, Vasilii V.; Lukkassen, Dag; Piatnitski, Andrey. On homogenization of networks and junctions. Asymptotic Analysis 2002; Volum 30. ISSN 0921-7134.s 61 - 80.

  • Pankaj, Jain; Lukkassen, Dag; Persson, Lars-Erik; Svanstedt, Nils. Imbeddings of anisotropic Orlicz-Sobolev spaces and applications. Mathematical Inequalities & Applications 2002; Volum 5 (2). ISSN 1331-4343.s 181 - 195.

  • Lukkassen, Dag; Nguetseng, Gabriel; Wall, Peter. Two-scale convergence. International Journal of Pure and Applied Mathematics 2002; Volum 2 (1). ISSN 1311-8080.s 35 - 86.

  • Lukkassen, Dag; Wall, Peter. On weak convergence of locally periodic functions. Journal of Nonlinear Mathematical Physics 2002; Volum 9 (1). ISSN 1402-9251.s 42 - 47.

  • Lukkassen, Dag. Reiterated homogenization of non-standard Lagrangians. Comptes rendus de l'Académie des sciences. Série 1, Mathématique 2001; Volum 332 (11). ISSN 0764-4442.s 999 - 1004.

  • Berggren, Stein A.; Lukkassen, Dag; Meidell, Annette; Simula, Leon. On stiffness properties of square honeycombs and other unidirectional composites. Composites Part B: Engineering 2001; Volum 32. ISSN 1359-8368.s 503 - 511.

  • Jikov, Vasilii V.; Lukkassen, Dag. On two types of effective conductivities. Journal of Mathematical Analysis and Applications 2001; Volum 256. ISSN 0022-247X.s 339 - 343.

  • Lions, J. L.; Lukkassen, Dag; Persson, Lars-Erik; Wall, Peter. Reiterated homogenization of nonlinear monotone operators. Chinese Annals of Mathematics. Series B 2001; Volum 22B (1). ISSN 0252-9599.s 1 - 12.

  • Berggren, Stein A.; Lukkassen, Dag; Meidell, Annette; Simula, Leon. A new method for numerical solution of checkerboard fields. (Omtale: http://jam.hindawi.com/volume-1/S1110757X01000316.html) Journal of Applied Mathematics 2001; Volum 1. ISSN 1110-757X.s 157 - 173.

  • Braides, Andrea; Lukkassen, Dag. Reiterated homogenization of integral functionals. Mathematical Models and Methods in Applied Sciences 2000; Volum 10 (1). ISSN 0218-2025.s 47 - 71.

  • Lions, J. L.; Lukkassen, Dag; Persson, Lars Erik; Wall, Peter. Reiterated homogenization of monotone operators. Comptes rendus de l'Académie des sciences. Série 1, Mathématique 2000; Volum 330. ISSN 0764-4442.s 675 - 680.

  • Lukkassen, Dag. Sharp inequalities connected to the homogenized p-Poisson equation. Mathematical Inequalities & Applications 1999; Volum Vol. 2 (2). ISSN 1331-4343.s 243 - 250.

  • Lukkassen, Dag. A new reiterated structure with optimal macroscopic behavior. SIAM Journal on Applied Mathematics 1999; Volum 59 (5). ISSN 0036-1399.s 1825 - 1842.

  • Lukkassen, Dag. Means of power type and their inequalities. Mathematische Nachrichten 1999; Volum Vol. 205. ISSN 0025-584X.s 131 - 147.

  • Bang, Børre; Lukkassen, Dag. Application of homogenization theory related to Stokes flow in porous media. Applications of Mathematics 1999; Volum Vol. 44 (4). ISSN 0862-7940.s 309 - 319.

  • Lukkassen, Dag. Bounds and homogenization of integral functionals. Acta Scientarum Mathematicarum 1998; Volum 64. ISSN 0001-6969.s 121 - 141.

  • Lukkassen, Dag. Inequalities and bounds related to homogenization of integral functionals with extreme local properties. Mathematica Balkanica 1998; Volum 12 (Fasc 3-4). ISSN 0350-2007.s 339 - 358.

  • Lukkassen, Dag. Bounds and homogenization of some optimal reiterated honeycombs. 1997 ISBN 1853124583.s 267 - 276.

  • Lukkassen, Dag. On estimates of the effective energy for the averaged Poisson equation with a p-Laplacian. Russian Mathematical Surveys 1996; Volum 51 (4). ISSN 0036-0279.s 739 - 740.

  • Lukkassen, Dag. Some sharp estimates connected to the homogenized p-Laplacian equation. Zeitschrift für angewandte Mathematik und Mechanik 1996; Volum 76 (S2). ISSN 0044-2267.s 603 - 604.

  • Lukkassen, Dag. On a problem of W. Rudin. Soochow Journal of Mathematics 1995; Volum 21 (3). ISSN 0250-3255.s 361 - 363.

  • Lukkassen, Dag; Persson, Lars Erik; Wall, Peter. Some engineering and mathematical aspects on the homogenization method. Composites Part B: Engineering 1995; Volum 5 (5). ISSN 1359-8368.s 519 - 531.

  • Lukkassen, Dag; Persson, Lars Erik; Wall, Peter. On Some Sharp Bounds for the Homogenized p-Poisson Equation. Applicable Analysis 1995; Volum 58. ISSN 0003-6811.s 123 - 135.

  • Lukkassen, Dag. On some sharp bounds for the off-diagonal elements of the homogenized tensor. Applications of Mathematics 1995; Volum 40 (5). ISSN 0862-7940.s 401 - 406.

  • Lukkassen, Dag. Averages over n-cells. Soochow Journal of Mathematics 1995; Volum 22 (1). ISSN 0250-3255.s 107 - 110.

  • Lukkassen, Dag. On an inequality of bounds for the homogenized p-Poisson equation. Russian Mathematical Surveys 1995; Volum 51 (4). ISSN 0036-0279.s 161 - 164.

  • Damlamian, Alain; Lukkassen, Dag; Meidell, Annette; Piatnitski, Andrey. Multi scale problems and asymptotic analysis. 2006 (Volume 24) ISBN 4762504335.s 291 - 303.

  • Lukkassen, Dag. Vil ikke til Bodø. [Intervju med Dag Lukkassen]. 2010.

  • Lukkassen, Dag. Mikael - HiNs reddende engel?. Fremover 2008.

  • Høibakk, Ralph; Jorstad, Tron; Lukkassen, Dag; Lystad, Lars Petter. Integer crossed ladders; parametric representations and minimal integer values. Normat 2008; Volum 56 (2). ISSN 0801-3500.s 68 - 79.

  • Lukkassen, Dag. Sentral i nytt internasjonalt tidsskrift. Fremover 2007.

  • Lukkassen, Dag; Piatnitski, Andrey; Meidell, Annette. Gir ut bok om Narvikkonferanse. Fremover 2007.

  • Piatnitski, Andrey; Beeri, Guy; Byström, Johan; Lukkassen, Dag; Persson, Lars-Erik; Chechkin, Gregory A.; Meidell, Annette. Styrket forskningsmiljø ved HiN. Fremover 2006.

  • Lukkassen, Dag; Persson, Lars-Erik; Simula, Leon. Web-courses in mathematics based on PC screen recorded video lectures. 2003.

  • Lukkassen, Dag; Meidell, Annette; Vigdergauz, Shmuel. On the elastic deformation of symmetric periodic structures. 2002 (2002-7) ISBN 8278231028. ISSN 0806-2005.

  • Englis, Miroslav; Lukkassen, Dag; Peetre, Jaak; Persson, Lars-Erik. The last formula of Jaques-Louis Lions : reproducing kernels for harmonic and other functions. 2002 (2002:22). ISSN 1403-9338.

  • Lukkassen, Dag; Svanstedt, Nils. On Gamma-convergence in anisotropic Orlicz-Sobolev spaces. 2001 (2001:17:00). ISSN 0347-2809.

  • Lukkassen, Dag; Wall, Peter. On weak convergence of locally periodic functions. 2001 (2001-2) ISBN 8278230749. ISSN 0806-2005.

  • Lukkassen, Dag; Milton, Graeme W.. On hierarchical structures and reiterated homogenization. 2001 (2001-1) ISBN 8278230730. ISSN 0806-2005.

  • Lukkassen, Dag; Meidell, Annette. Advanced materials and structures and their fabrication processes. 2001.

  • Engström, Jonas; Lukkassen, Dag; Persson, Lars-Erik; Simula, Leon. Numerical solutions of checkerboard fields. International conference on composites engineering, 8 2001-08-05 - 2001-08-11 2001.

  • Lukkassen, Dag; Wall, Peter. Optimal shear properties for a class of unidirectional non-linear composites. 6th international conference on composites engineering 1999-06-27 - 1999-07-03 1999.

  • Lukkassen, Dag. Some aspects of reiterated honeycombs. Mechanics of composite materials and structures 1998-07-12 - 1998-07-24 1998.

  • Lukkassen, Dag; Bystrøm, Johan; Pavval, Anneli; Persson, Lars-Erik. Computing effective conductivities by bounds and numerical methods. International conference on composites engineering, 4 1997-07-06 - 1997-07-14 1997.

  • Lukkassen, Dag. En ny reiterert struktur med optimale effektive egenskaper (a new reiterated structure with optimal macroskopic behaviour). 1997 (1997-3) ISBN 82-7823-023-4. ISSN 0806-2005.

  • Lukkassen, Dag. Middelverdier av potens-type og tilhørende ulikheter (means of power type and their inequalities). 1997 (1997-4) ISBN 82-7823-024-2. ISSN 0806-2005.

  • Lukkassen, Dag. Homogenisering av integral-funksjonaler og tilhørende grenser (bounds and homogenization of integral functionals). 1997 (1997-5) ISBN 82-7823-025-0. ISSN 0806-2005.

  • Lukkassen, Dag. Homogenisering av integral-funksjonaler med ekstreme lokale egenskaper (Homogenization of integral functionals with extreme local properties). 1997 (1997-6) ISBN 82-7823-026-9. ISSN 0806-2005.

  • Lukkassen, Dag. Formulae and bounds connected to optimal design and homogenization of partial differential operators and integral functionals. 1996 ISBN 82-90487-87-8.

  • Meidell, Annette; Lukkassen, Dag. Bounds and estimates on the effective conductivity tensor. International conference on composites engineering/3 1996-07-21 - 1996-07-26 1996.

  • Lukkassen, Dag; Tomac, Nikola. On estimating local properties of strongly non-homogeneous materials by using homogenization. International conference on composites engineering/2 1995-08-21 - 1995-08-24 1995.

  • Lukkassen, Dag. Methods for estimating local properties of strongly non-homogeneous materials. International congress on industrial and applied mathematics, 3 1995-07-03 - 1995-07-07 1995.

  • Lukkassen, Dag. En beskrivelse av homogeniseringsteorien sett i lys av Kuhn's vitenskapsteori. 1995.

  • Lukkassen, Dag; Persson, Lars Erik; Wall, Peter. On some sharp bounds for the effective conductivity. International conference on composites engineering, 1 1994-08-28 - 1994-08-31 1994.

  • Persson, Lars Erik; Lukkassen, Dag; Wall, Peter. Some engineering and mathematical aspects on the homogenization method. International conference on composites engineering, 1 1994-08-28 - 1994-08-31 1994.

  • Lukkassen, Dag. Upper and lower bounds for averaging coefficients. Russian Mathematical Surveys 1994; Volum 49. ISSN 0036-0279.s 114 - 115.

  • Lukkassen, Dag. Vil ikke til Bodø. [Intervju med Dag Lukkassen]. 2010.

  • Lukkassen, Dag. Mikael - HiNs reddende engel?. Fremover 2008.

  • Høibakk, Ralph; Jorstad, Tron; Lukkassen, Dag; Lystad, Lars Petter. Integer crossed ladders; parametric representations and minimal integer values. Normat 2008; Volum 56 (2). ISSN 0801-3500.s 68 - 79.

  • Lukkassen, Dag. Sentral i nytt internasjonalt tidsskrift. Fremover 2007.

  • Lukkassen, Dag; Piatnitski, Andrey; Meidell, Annette. Gir ut bok om Narvikkonferanse. Fremover 2007.

  • Piatnitski, Andrey; Beeri, Guy; Byström, Johan; Lukkassen, Dag; Persson, Lars-Erik; Chechkin, Gregory A.; Meidell, Annette. Styrket forskningsmiljø ved HiN. Fremover 2006.

  • Lukkassen, Dag; Persson, Lars-Erik; Simula, Leon. Web-courses in mathematics based on PC screen recorded video lectures. 2003.

  • Lukkassen, Dag; Meidell, Annette; Vigdergauz, Shmuel. On the elastic deformation of symmetric periodic structures. 2002 (2002-7) ISBN 8278231028. ISSN 0806-2005.

  • Englis, Miroslav; Lukkassen, Dag; Peetre, Jaak; Persson, Lars-Erik. The last formula of Jaques-Louis Lions : reproducing kernels for harmonic and other functions. 2002 (2002:22). ISSN 1403-9338.

  • Lukkassen, Dag; Svanstedt, Nils. On Gamma-convergence in anisotropic Orlicz-Sobolev spaces. 2001 (2001:17:00). ISSN 0347-2809.

  • Lukkassen, Dag; Wall, Peter. On weak convergence of locally periodic functions. 2001 (2001-2) ISBN 8278230749. ISSN 0806-2005.

  • Lukkassen, Dag; Milton, Graeme W.. On hierarchical structures and reiterated homogenization. 2001 (2001-1) ISBN 8278230730. ISSN 0806-2005.

  • Lukkassen, Dag; Meidell, Annette. Advanced materials and structures and their fabrication processes. 2001.

  • Engström, Jonas; Lukkassen, Dag; Persson, Lars-Erik; Simula, Leon. Numerical solutions of checkerboard fields. International conference on composites engineering, 8 2001-08-05 - 2001-08-11 2001.

  • Lukkassen, Dag; Wall, Peter. Optimal shear properties for a class of unidirectional non-linear composites. 6th international conference on composites engineering 1999-06-27 - 1999-07-03 1999.

  • Lukkassen, Dag. Some aspects of reiterated honeycombs. Mechanics of composite materials and structures 1998-07-12 - 1998-07-24 1998.

  • Lukkassen, Dag; Bystrøm, Johan; Pavval, Anneli; Persson, Lars-Erik. Computing effective conductivities by bounds and numerical methods. International conference on composites engineering, 4 1997-07-06 - 1997-07-14 1997.

  • Lukkassen, Dag. En ny reiterert struktur med optimale effektive egenskaper (a new reiterated structure with optimal macroskopic behaviour). 1997 (1997-3) ISBN 82-7823-023-4. ISSN 0806-2005.

  • Lukkassen, Dag. Middelverdier av potens-type og tilhørende ulikheter (means of power type and their inequalities). 1997 (1997-4) ISBN 82-7823-024-2. ISSN 0806-2005.

  • Lukkassen, Dag. Homogenisering av integral-funksjonaler og tilhørende grenser (bounds and homogenization of integral functionals). 1997 (1997-5) ISBN 82-7823-025-0. ISSN 0806-2005.

  • Lukkassen, Dag. Homogenisering av integral-funksjonaler med ekstreme lokale egenskaper (Homogenization of integral functionals with extreme local properties). 1997 (1997-6) ISBN 82-7823-026-9. ISSN 0806-2005.

  • Lukkassen, Dag. Formulae and bounds connected to optimal design and homogenization of partial differential operators and integral functionals. 1996 ISBN 82-90487-87-8.

  • Meidell, Annette; Lukkassen, Dag. Bounds and estimates on the effective conductivity tensor. International conference on composites engineering/3 1996-07-21 - 1996-07-26 1996.

  • Lukkassen, Dag; Tomac, Nikola. On estimating local properties of strongly non-homogeneous materials by using homogenization. International conference on composites engineering/2 1995-08-21 - 1995-08-24 1995.

  • Lukkassen, Dag. Methods for estimating local properties of strongly non-homogeneous materials. International congress on industrial and applied mathematics, 3 1995-07-03 - 1995-07-07 1995.

  • Lukkassen, Dag. En beskrivelse av homogeniseringsteorien sett i lys av Kuhn's vitenskapsteori. 1995.

  • Lukkassen, Dag; Persson, Lars Erik; Wall, Peter. On some sharp bounds for the effective conductivity. International conference on composites engineering, 1 1994-08-28 - 1994-08-31 1994.

  • Persson, Lars Erik; Lukkassen, Dag; Wall, Peter. Some engineering and mathematical aspects on the homogenization method. International conference on composites engineering, 1 1994-08-28 - 1994-08-31 1994.

  • Lukkassen, Dag. Upper and lower bounds for averaging coefficients. Russian Mathematical Surveys 1994; Volum 49. ISSN 0036-0279.s 114 - 115.

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