Hoibakk, Ralph; Lukkassen, Dag; Persson, Lars-Erik; Meidell, Annette On geometric construction of some power means. (English) Zbl 1472.51016 Nonlinear Stud. 25, No. 4, 921-932 (2018). MSC: 51M25 26E60 PDFBibTeX XMLCite \textit{R. Hoibakk} et al., Nonlinear Stud. 25, No. 4, 921--932 (2018; Zbl 1472.51016) Full Text: Link
Lukkassen, Dag; Høibakk, Ralph; Meidell, Annette Nonlinear laminates where the effective conductivity is integer valued. (English) Zbl 1241.80006 Appl. Math. Lett. 25, No. 6, 937-940 (2012). MSC: 80A20 PDFBibTeX XMLCite \textit{D. Lukkassen} et al., Appl. Math. Lett. 25, No. 6, 937--940 (2012; Zbl 1241.80006) Full Text: DOI
Lukkassen, Dag; Meidell, Annette Generalized chessboard structures whose effective conductivities are integer valued. (English) Zbl 1238.80002 J. Appl. Math. 2012, Article ID 874239, 7 p. (2012). MSC: 80A20 80M40 80M10 PDFBibTeX XMLCite \textit{D. Lukkassen} and \textit{A. Meidell}, J. Appl. Math. 2012, Article ID 874239, 7 p. (2012; Zbl 1238.80002) Full Text: DOI
Lukkassen, Dag; Meidell, Annette; Pettersson, Klas A local-effective relation in planar linear elasticity. arXiv:1206.6993 Preprint, arXiv:1206.6993 [math.AP] (2012). MSC: 35B27 BibTeX Cite \textit{D. Lukkassen} et al., ``A local-effective relation in planar linear elasticity'', Preprint, arXiv:1206.6993 [math.AP] (2012) Full Text: arXiv OA License
Lukkassen, Dag; Meidell, Annette; Pettersson, Klas An elementary proof of the Vigdergauz equations for a class of square symmetric structures. arXiv:1204.6419 Preprint, arXiv:1204.6419 [math.AP] (2012). MSC: 74B05 74Q05 35B27 BibTeX Cite \textit{D. Lukkassen} et al., ``An elementary proof of the Vigdergauz equations for a class of square symmetric structures'', Preprint, arXiv:1204.6419 [math.AP] (2012) Full Text: arXiv OA License
Lukkassen, Dag; Meidell, Annette; Wall, Peter Homogenization of a class of nonlinear variational inequalities with applications in fluid film flow. (English) Zbl 1308.80017 Chin. Ann. Math., Ser. B 32, No. 3, 417-434 (2011). MSC: 80M40 49J40 76M50 76A20 76D08 35Q35 PDFBibTeX XMLCite \textit{D. Lukkassen} et al., Chin. Ann. Math., Ser. B 32, No. 3, 417--434 (2011; Zbl 1308.80017) Full Text: DOI
Lukkassen, Dag; Meidell, Annette; Wall, Peter Analysis of the effects of rough surfaces in compressible thin film flow by homogenization. (English) Zbl 1231.35174 Int. J. Eng. Sci. 49, No. 5, 369-377 (2011). MSC: 35Q35 35B27 76A20 76M50 76N99 PDFBibTeX XMLCite \textit{D. Lukkassen} et al., Int. J. Eng. Sci. 49, No. 5, 369--377 (2011; Zbl 1231.35174) Full Text: DOI
Lukkassen, Dag; Meidell, Annette; Persson, Lars-Erik Nonlinear variational methods for estimating effective properties of multiscale materials. (English) Zbl 1185.49017 Pardalos, Panos M. (ed.) et al., Nonlinear analysis and variational problems. In Honor of George Isac. Berlin: Springer (ISBN 978-1-4419-0157-6/hbk; 978-1-4419-0158-3/ebook). Springer Optimization and Its Applications 35, 367-414 (2010). MSC: 49J45 74A30 PDFBibTeX XMLCite \textit{D. Lukkassen} et al., Springer Optim. Appl. 35, 367--414 (2010; Zbl 1185.49017) Full Text: DOI
Lukkassen, Dag; Meidell, Annette; Wall, Peter Homogenization of some variational problems connected to the theory of lubrication. (English) Zbl 1213.76029 Int. J. Eng. Sci. 47, No. 1, 153-162 (2009). MSC: 76A20 35B27 49J45 PDFBibTeX XMLCite \textit{D. Lukkassen} et al., Int. J. Eng. Sci. 47, No. 1, 153--162 (2009; Zbl 1213.76029) Full Text: DOI
Wall, Peter; Lukkassen, Dag; Meidell, Annette New methods for estimating the torsional rigidity of composite bars. (English) Zbl 1213.74195 Int. J. Eng. Sci. 47, No. 4, 524-536 (2009). MSC: 74K10 74Q20 PDFBibTeX XMLCite \textit{P. Wall} et al., Int. J. Eng. Sci. 47, No. 4, 524--536 (2009; Zbl 1213.74195) Full Text: DOI
Lukkassen, Dag; Meidell, Annette; Piatnitski, Andrey L.; Shamaev, Alexey S. Twisting a thin periodically perforated elastic rod. (English) Zbl 1184.35034 Appl. Anal. 88, No. 10-11, 1563-1577 (2009). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 74Q05 35Q74 74K10 PDFBibTeX XMLCite \textit{D. Lukkassen} et al., Appl. Anal. 88, No. 10--11, 1563--1577 (2009; Zbl 1184.35034) Full Text: DOI
Lukkassen, D.; Nguetseng, G.; Nnang, H.; Wall, P. Reiterated homogenization of nonlinear monotone operators in a general deterministic setting. (English) Zbl 1178.35048 J. Funct. Spaces Appl. 7, No. 2, 121-152 (2009). MSC: 35B27 35B40 46J10 35J25 35J60 PDFBibTeX XMLCite \textit{D. Lukkassen} et al., J. Funct. Spaces Appl. 7, No. 2, 121--152 (2009; Zbl 1178.35048) Full Text: DOI
Lukkassen, Dag; Meidell, Annette; Piatnitski, Andrey; Shamaev, Alexey Symmetric-relations for elastically deformed periodic rod-structures. (English) Zbl 1176.35019 Math. Models Methods Appl. Sci. 19, No. 4, 501-525 (2009). MSC: 35B27 74K10 PDFBibTeX XMLCite \textit{D. Lukkassen} et al., Math. Models Methods Appl. Sci. 19, No. 4, 501--525 (2009; Zbl 1176.35019) Full Text: DOI
Lukkassen, Dag; Meidell, Annette; Wall, Peter On the conjugate of periodic piecewise harmonic functions. (English) Zbl 1156.35315 Netw. Heterog. Media 3, No. 3, 633-646 (2008). MSC: 35B27 35J60 PDFBibTeX XMLCite \textit{D. Lukkassen} et al., Netw. Heterog. Media 3, No. 3, 633--646 (2008; Zbl 1156.35315) Full Text: DOI
Chechkin, Gregory A.; Lukkassen, Dag; Meidell, Annette On the Sapondzhyan-Babuška paradox. (English) Zbl 1177.35029 Appl. Anal. 87, No. 12, 1443-1460 (2008). MSC: 35B27 74K20 PDFBibTeX XMLCite \textit{G. A. Chechkin} et al., Appl. Anal. 87, No. 12, 1443--1460 (2008; Zbl 1177.35029) Full Text: DOI
Lukkassen, Dag; Meidell, Annette; Wall, Peter Multiscale homogenization of monotone operators. (English) Zbl 1156.35314 Discrete Contin. Dyn. Syst. 22, No. 3, 711-727 (2008). MSC: 35B27 35J60 74Q15 47H05 PDFBibTeX XMLCite \textit{D. Lukkassen} et al., Discrete Contin. Dyn. Syst. 22, No. 3, 711--727 (2008; Zbl 1156.35314) Full Text: DOI
Lukkassen, Dag; Meidell, Annette; Wall, Peter Mathematical analysis and homogenization of the torsion problem. (English) Zbl 1171.35316 J. Funct. Spaces Appl. 6, No. 2, 155-176 (2008). Reviewer: Marco Codegone (Torino) MSC: 35B27 74Q05 74K10 PDFBibTeX XMLCite \textit{D. Lukkassen} et al., J. Funct. Spaces Appl. 6, No. 2, 155--176 (2008; Zbl 1171.35316) Full Text: DOI
Almqvist, Andreas; Lukkassen, Dag; Meidell, Annette; Wall, Peter New concepts of homogenization applied in rough surface hydrodynamic lubrication. (English) Zbl 1213.76151 Int. J. Eng. Sci. 45, No. 1, 139-154 (2007). MSC: 76M50 76D08 PDFBibTeX XMLCite \textit{A. Almqvist} et al., Int. J. Eng. Sci. 45, No. 1, 139--154 (2007; Zbl 1213.76151) Full Text: DOI Link
Lukkassen, Dag; Meidell, Annette; Wall, Peter Bounds on the effective behavior of a homogenized generalized Reynolds equation. (English) Zbl 1141.35327 J. Funct. Spaces Appl. 5, No. 2, 133-150 (2007). MSC: 35B27 74Q20 35B45 PDFBibTeX XMLCite \textit{D. Lukkassen} et al., J. Funct. Spaces Appl. 5, No. 2, 133--150 (2007; Zbl 1141.35327) Full Text: DOI
Lukkassen, Dag; Wall, Peter Two-scale convergence with respect to measures and homogenization of monotone operators. (English) Zbl 1073.35024 J. Funct. Spaces Appl. 3, No. 2, 125-161 (2005). Reviewer: Marco Biroli (Milano) MSC: 35B27 35B40 PDFBibTeX XMLCite \textit{D. Lukkassen} and \textit{P. Wall}, J. Funct. Spaces Appl. 3, No. 2, 125--161 (2005; Zbl 1073.35024) Full Text: DOI
Berggren, Stein A.; Lukkassen, Dag; Meidell, Annette; Simula, Leon Some methods for calculating stiffness properties of periodic structures. (English) Zbl 1099.74053 Appl. Math., Praha 48, No. 2, 97-110 (2003). Reviewer: Jan Franců (Brno) MSC: 74Q15 35B27 74K99 74S30 PDFBibTeX XMLCite \textit{S. A. Berggren} et al., Appl. Math., Praha 48, No. 2, 97--110 (2003; Zbl 1099.74053) Full Text: DOI EuDML
Chechkin, Gregory A.; Jikov, Vasili V.; Lukkassen, Dag; Piatnitski, Andrey L. On homogenization of networks and junctions. (English) Zbl 1031.35018 Asymptotic Anal. 30, No. 1, 61-80 (2002). MSC: 35B27 74Q15 74K10 PDFBibTeX XMLCite \textit{G. A. Chechkin} et al., Asymptotic Anal. 30, No. 1, 61--80 (2002; Zbl 1031.35018)
Lukkassen, Dag; Nguetseng, Gabriel; Wall, Peter Two-scale convergence. (English) Zbl 1061.35015 Int. J. Pure Appl. Math. 2, No. 1, 35-86 (2002). Reviewer: Fabio Paronetto (Lecce) MSC: 35B27 35B40 35J65 PDFBibTeX XMLCite \textit{D. Lukkassen} et al., Int. J. Pure Appl. Math. 2, No. 1, 35--86 (2002; Zbl 1061.35015)
Lukkassen, Dag; Wall, Peter On weak convergence of locally periodic functions. (English) Zbl 1070.49010 J. Nonlinear Math. Phys. 9, No. 1, 42-57 (2002). MSC: 49J45 35B10 35B27 35J60 PDFBibTeX XMLCite \textit{D. Lukkassen} and \textit{P. Wall}, J. Nonlinear Math. Phys. 9, No. 1, 42--57 (2002; Zbl 1070.49010) Full Text: DOI arXiv
Berggren, Stein A.; Lukkassen, Dag; Meidell, Annette; Simula, Leon A new method for numerical solution of checkerboard fields. (English) Zbl 1094.74675 J. Appl. Math. 1, No. 4, 157-173 (2001). MSC: 74Q99 35Q72 74S05 PDFBibTeX XMLCite \textit{S. A. Berggren} et al., J. Appl. Math. 1, No. 4, 157--173 (2001; Zbl 1094.74675) Full Text: DOI EuDML
Lukkassen, Dag Reiterated homogenization of non-standard Lagrangians. (English. Abridged French version) Zbl 0983.35017 C. R. Acad. Sci., Paris, Sér. I, Math. 332, No. 11, 999-1004 (2001). MSC: 35B27 35A15 PDFBibTeX XMLCite \textit{D. Lukkassen}, C. R. Acad. Sci., Paris, Sér. I, Math. 332, No. 11, 999--1004 (2001; Zbl 0983.35017) Full Text: DOI
Jikov, Vasilii V.; Lukkassen, Dag On two types of effective conductivities. (English) Zbl 1195.35039 J. Math. Anal. Appl. 256, No. 1, 339-343 (2001). MSC: 35B27 35B40 PDFBibTeX XMLCite \textit{V. V. Jikov} and \textit{D. Lukkassen}, J. Math. Anal. Appl. 256, No. 1, 339--343 (2001; Zbl 1195.35039) Full Text: DOI
Lions, J. L.; Lukkassen, D.; Persson, L. E.; Wall, P. Reiterated homogenization of nonlinear monotone operators. (English) Zbl 0979.35047 Chin. Ann. Math., Ser. B 22, No. 1, 1-12 (2001). Reviewer: Aleksander Pankov (Vinnitsa) MSC: 35J60 35B27 PDFBibTeX XMLCite \textit{J. L. Lions} et al., Chin. Ann. Math., Ser. B 22, No. 1, 1--12 (2001; Zbl 0979.35047) Full Text: DOI
Braides, Andrea; Lukkassen, Dag Reiterated homogenization of integral functionals. (English) Zbl 1010.49011 Math. Models Methods Appl. Sci. 10, No. 1, 47-71 (2000). MSC: 49J45 74Q05 PDFBibTeX XMLCite \textit{A. Braides} and \textit{D. Lukkassen}, Math. Models Methods Appl. Sci. 10, No. 1, 47--71 (2000; Zbl 1010.49011) Full Text: DOI
Lions, Jacques-Louis; Lukkassen, Dag; Persson, Lars-Erik; Wall, Peter Reiterated homogenization of monotone operators. (English. Abridged French version) Zbl 0953.35041 C. R. Acad. Sci., Paris, Sér. I, Math. 330, No. 8, 675-680 (2000). MSC: 35J60 35B27 46E35 PDFBibTeX XMLCite \textit{J.-L. Lions} et al., C. R. Acad. Sci., Paris, Sér. I, Math. 330, No. 8, 675--680 (2000; Zbl 0953.35041) Full Text: DOI
Bang, Børre; Lukkassen, Dag Application of homogenization theory related to Stokes flow in porous media. (English) Zbl 1059.76533 Appl. Math., Praha 44, No. 4, 309-319 (1999). Reviewer: Ivan Straškraba (Praha) MSC: 76S05 35B27 49J45 76D07 76M25 76M50 PDFBibTeX XMLCite \textit{B. Bang} and \textit{D. Lukkassen}, Appl. Math., Praha 44, No. 4, 309--319 (1999; Zbl 1059.76533) Full Text: DOI EuDML
Lukkassen, Dag Means of power type and their inequalities. (English) Zbl 0955.26013 Math. Nachr. 205, 131-147 (1999). Reviewer: R.De Arcangelis (Napoli) MSC: 26E60 26D15 35J20 35B27 PDFBibTeX XMLCite \textit{D. Lukkassen}, Math. Nachr. 205, 131--147 (1999; Zbl 0955.26013) Full Text: DOI
Lukkassen, Dag A new reiterated structure with optimal macroscopic behavior. (English) Zbl 0933.35023 SIAM J. Appl. Math. 59, No. 5, 1825-1842 (1999). MSC: 35B27 74E30 PDFBibTeX XMLCite \textit{D. Lukkassen}, SIAM J. Appl. Math. 59, No. 5, 1825--1842 (1999; Zbl 0933.35023) Full Text: DOI
Lukkassen, Dag Sharp inequalities connected to the homogenized \(p\)-Poisson equation. (English) Zbl 0927.35012 Math. Inequal. Appl. 2, No. 2, 243-250 (1999). MSC: 35B27 35J60 74A99 PDFBibTeX XMLCite \textit{D. Lukkassen}, Math. Inequal. Appl. 2, No. 2, 243--250 (1999; Zbl 0927.35012) Full Text: DOI
Lukkassen, Dag Homogenization of integral functionals with extreme local properties. (English) Zbl 1033.35011 Math. Balk., New Ser. 12, No. 3-4, 339-358 (1998). MSC: 35B27 49J45 PDFBibTeX XMLCite \textit{D. Lukkassen}, Math. Balk., New Ser. 12, No. 3--4, 339--358 (1998; Zbl 1033.35011)
Lukkassen, Dag Bounds and homogenization of integral functionals. (English) Zbl 0928.35014 Acta Sci. Math. 64, No. 1-2, 121-141 (1998). Reviewer: Catalin Popa (Iaşi) MSC: 35B27 35J20 35Q35 PDFBibTeX XMLCite \textit{D. Lukkassen}, Acta Sci. Math. 64, No. 1--2, 121--141 (1998; Zbl 0928.35014)
Lukkassen, D. Some sharp estimates connected to the homogenized \(p\)-Laplacian equation. (English) Zbl 1126.35303 Z. Angew. Math. Mech. 76, Suppl. 2, 603-604 (1996). MSC: 35B27 35J05 PDFBibTeX XMLCite \textit{D. Lukkassen}, Z. Angew. Math. Mech. 76, 603--604 (1996; Zbl 1126.35303)
Lukkassen, Dag On some sharp bounds for the off-diagonal elements of the homogenized tensor. (English) Zbl 0847.35011 Appl. Math., Praha 40, No. 5, 401-406 (1995). Reviewer: I.Aganović (Zagreb) MSC: 35B27 35Q99 74E05 74E30 PDFBibTeX XMLCite \textit{D. Lukkassen}, Appl. Math., Praha 40, No. 5, 401--406 (1995; Zbl 0847.35011) Full Text: EuDML
Lukkassen, Dag; Persson, Lars Erik; Wall, Peter On some sharp bounds for the homogenized \(p\)-Poisson equation. (English) Zbl 0832.35009 Appl. Anal. 58, No. 1-2, 123-135 (1995). Reviewer: L.E.Persson (Luleå) MSC: 35B27 35J20 74E05 74E30 PDFBibTeX XMLCite \textit{D. Lukkassen} et al., Appl. Anal. 58, No. 1--2, 123--135 (1995; Zbl 0832.35009) Full Text: DOI