EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues Volume 18 / No 1 (January-March 2012) ESAIM: COCV, 18 1 (2012) 259-276 References
Free Access
Issue
ESAIM: COCV
Volume 18, Number 1, January-March 2012
Page(s) 259 - 276
DOI https://doi.org/10.1051/cocv/2010051
Published online 02 December 2010
  1. A. Alama, L. Bronsard and B. Galvão-Sousa, Thin film limits for Ginzburg-Landau for strong applied magnetic fields. SIAM J. Math. Anal. 42 (2010) 97–124. [CrossRef] [MathSciNet] [Google Scholar]
  2. N. Ansini and A. Garroni, Γ-convergence of functionals on divergence-free fields. ESAIM : COCV 13 (2007) 809–828. [Google Scholar]
  3. J.M. Ball, A version of the fundamental theorem for young measures, in PDEs and continuum models of phase transitions – Proceedings of an NSF-CNRS joint seminar held in Nice, France, January 18–22, 1988, Lect. Notes Phys. 344, M. Rascle, D. Serre and M. Slemrod Eds., Springer, Berlin etc. (1989) 207–215. [Google Scholar]
  4. A. Braides, Γ-convergence for beginners, Oxford Lecture Series in Mathematics and its Applications 22. Oxford University Press, Oxford (2002). [Google Scholar]
  5. A. Braides, I. Fonseca and G. Leoni, A-quasiconvexity : Relaxation and homogenization. ESAIM : COCV 5 (2000) 539–577. [CrossRef] [EDP Sciences] [Google Scholar]
  6. A. Contreras and P. Sternberg, Γ-convergence and the emergence of vortices for Ginzburg-Landau on thin shells and manifolds. Calc. Var. Partial Differ. Equ. 38 (2010) 243–274. [CrossRef] [Google Scholar]
  7. G. Dal Maso, An introduction to Γ-convergence, Progress in Nonlinear Differential Equations and their Applications 8. Birkhäuser, Basel (1993). [Google Scholar]
  8. G. Dal Maso, I. Fonseca and G. Leoni, Nonlocal character of the reduced theory of thin films with higher order perturbations. Adv. Calc. Var. 3 (2010) 287–319. [CrossRef] [MathSciNet] [Google Scholar]
  9. E. De Giorgi and G. Dal Maso, Gamma-convergence and calculus of variations, in Mathematical theories of optimization, Proc. Conf., Genova, 1981, Lect. Notes Math. 979 (1983) 121–143. [Google Scholar]
  10. E. De Giorgi and T. Franzoni, Su un tipo di convergenza variazionale. Atti Accad. Naz. Lincei, VIII. Ser., Rend., Cl. Sci. Fis. Mat. Nat. 58 (1975) 842–850. [Google Scholar]
  11. I. Ekeland and R. Temam, Convex analysis and variational problems, Studies in Mathematics and its Applications 1. North-Holland Publishing Company, Amsterdam, Oxford (1976). [Google Scholar]
  12. I. Fonseca and S. Krömer, Multiple integrals under differential constraints : two-scale convergence and homogenization. Indiana Univ. Math. J. 59 (2010) 427–457. [CrossRef] [MathSciNet] [Google Scholar]
  13. I. Fonseca and G. Leoni, Modern methods in the calculus of variations. Lp spaces. Springer Monographs in Mathematics, New York, Springer (2007). [Google Scholar]
  14. I. Fonseca and S. Müller, 𝒜-quasiconvexity, lower semicontinuity, and Young measures. SIAM J. Math. Anal. 30 (1999) 1355–1390. [CrossRef] [MathSciNet] [Google Scholar]
  15. G. Friesecke, R.D. James and S. Müller, A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence. Arch. Ration. Mech. Anal. 180 (2006) 183–236. [CrossRef] [MathSciNet] [Google Scholar]
  16. A. Garroni and V. Nesi, Rigidity and lack of rigidity for solenoidal matrix fields. Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 460 (2004) 1789–1806. [CrossRef] [MathSciNet] [Google Scholar]
  17. E. Giusti, Direct methods in the calculus of variations. World Scientific, Singapore (2003). [Google Scholar]
  18. H. Le Dret and A. Raoult, The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity. J. Math. Pures Appl., IX. Sér. 74 (1995) 549–578. [Google Scholar]
  19. H. Le Dret and A. Raoult, The membrane shell model in nonlinear elasticity : A variational asymptotic derivation. J. Nonlinear Sci. 6 (1996) 59–84. [CrossRef] [MathSciNet] [Google Scholar]
  20. H. Le Dret and A. Raoult, Variational convergence for nonlinear shell models with directors and related semicontinuity and relaxation results. Arch. Ration. Mech. Anal. 154 (2000) 101–134. [CrossRef] [MathSciNet] [Google Scholar]
  21. J. Lee, P.F.X. Müller and S. Müller, Compensated compactness, separately convex functions and interpolatory estimates between Riesz transforms and Haar projections. Preprint MPI-MIS 7/2008. [Google Scholar]
  22. M. Lewicka and R. Pakzad, The infinite hierarchy of elastic shell models : some recent results and a conjecture. Fields Institute Communications (to appear). [Google Scholar]
  23. M. Lewicka, L. Mahadevan and R. Pakzad, The Föppl-von Kármán equations for plates with incompatible strains. Proc. Roy. Soc. A (to appear). [Google Scholar]
  24. S. Müller, Rank-one convexity implies quasiconvexity on diagonal matrices. Int. Math. Res. Not. 1999 (1999) 1087–1095. [Google Scholar]
  25. S. Müller, Variational models for microstructure and phase transisions, in Calculus of variations and geometric evolution problems – Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (CIME), Cetraro, Italy, June 15–22, 1996, Lect. Notes Math. 1713, S. Hildebrandt Ed., Springer, Berlin (1999) 85–210. [Google Scholar]
  26. F. Murat, Compacité par compensation : condition nécessaire et suffisante de continuité faible sous une hypothèse de rang constant. Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 8 (1981) 69–102. [Google Scholar]
  27. M. Palombaro, Rank-(n-1) convexity and quasiconvexity for divergence free fields. Adv. Calc. Var 3 (2010) 279–285. [CrossRef] [MathSciNet] [Google Scholar]
  28. M. Palombaro and V.P. Smyshlyaev, Relaxation of three solenoidal wells and characterization of extremal three-phase H-measures. Arch. Ration. Mech. Anal. 194 (2009) 775–822. [CrossRef] [MathSciNet] [Google Scholar]
  29. P. Pedregal, Parametrized measures and variational principles, Progress in Nonlinear Differential Equations and their Applications 30. Birkhäuser, Basel (1997). [Google Scholar]
  30. R.T. Rockafellar, Convex analysis. Princeton University Press, Princeton, NJ (1970). [Google Scholar]
  31. L. Tartar, Compensated compactness and applications to partial differential equations, in Nonlinear analysis and mechanics : Heriot-Watt Symp. 4, Edinburgh, Res. Notes Math. 39 (1979) 136–212. [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.