Characterizations of young measures generated by gradients

[1]  D. Kinderlehrer,et al.  The relaxation of functionals with surface energies , 1989 .

[2]  R. Rogers,et al.  Nonlocal regularization of L. C. Young's tacking problem , 1992 .

[3]  Pablo Pedregal,et al.  Weak convergence of integrands and the young measure representation , 1992 .

[4]  Irene Fonseca,et al.  Variational methods for elastic crystals , 1987 .

[5]  Robert V. Kohn,et al.  The relaxation of a double-well energy , 1991 .

[6]  Nicola Fusco,et al.  Semicontinuity problems in the calculus of variations , 1984 .

[7]  J. Ericksen,et al.  Some phase transitions in crystals , 1980 .

[8]  Mitchell Luskin,et al.  Optimal order error estimates for the finite element approximation of the solution of a nonconvex variational problem , 1991 .

[9]  John M. Ball,et al.  Lower semicontinuity of multiple integrals and the Biting Lemma , 1990, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

[10]  F. Murat,et al.  Compacité par compensation , 1978 .

[11]  Luc Tartar,et al.  The Compensated Compactness Method Applied to Systems of Conservation Laws , 1983 .

[12]  J. Lasry,et al.  Int'egrandes normales et mesures param'etr'ees en calcul des variations , 1973 .

[13]  H. Ishii,et al.  Approximate solutions of the bellman equation of deterministic control theory , 1984 .

[14]  David Kinderlehrer,et al.  Theory of diffusionless phase transitions , 1989 .

[15]  C. B. Morrey Multiple Integrals in the Calculus of Variations , 1966 .

[16]  Kaushik Bhattacharya,et al.  Wedge-like microstructure in martensites , 1991 .

[17]  J. Ball,et al.  W1,p-quasiconvexity and variational problems for multiple integrals , 1984 .

[18]  J. Ericksen On the symmetry of deformable crystals , 1979 .

[19]  Lawrence C. Evans,et al.  Weak convergence methods for nonlinear partial differential equations , 1990 .

[20]  Kewei Zhang,et al.  Biting theorems for Jacobians and their applications , 1990 .

[21]  V. Sverák Quasiconvex functions with subquadratic growth , 1991, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[22]  J. Warga Optimal Control of Ordinary Differential Equations , 1972 .

[23]  J. Ball,et al.  Fine phase mixtures as minimizers of energy , 1987 .

[24]  J. Ball Sets of gradients with no rank-one connections , 1990 .

[25]  David Kinderlehrer,et al.  Equilibrium configurations of crystals , 1988 .

[26]  P. Pedregal Weak continuity and weak lower semicontinuity for some compensation operators , 1989, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

[27]  J. Ball A version of the fundamental theorem for young measures , 1989 .

[28]  J. Ericksen Stable equilibrium configurations of elastic crystals , 1986 .

[29]  J. Ericksen Changes in Symmetry in Elastic Crystals , 1981 .

[30]  J. Warga Optimal control of differential and functional equations , 1972 .

[31]  B. Dacorogna Direct methods in the calculus of variations , 1989 .

[32]  Erik J. Balder,et al.  A General Approach to Lower Semicontinuity and Lower Closure in Optimal Control Theory , 1984 .

[33]  Bernard Dacorogna,et al.  Weak Continuity and Weak Lower Semicontinuity of Non-Linear Functionals , 1982 .

[34]  J. Ericksen SOME SIMPLER CASES OF THE GIBBS PROBLEM FOR THERMOELASTIC SOLIDS , 1981 .

[35]  Kewei Zhang A construction of quasiconvex functions with linear growth at infinity , 1992 .

[36]  J. Ball Singular Minimizers and their Significance in Elasticity , 1987 .

[37]  Michel Chipot,et al.  Numerical approximations in variational problems with potential wells , 1992 .

[38]  Weak Martensitic Transformations in Bravais Lattices , 1989 .

[39]  J. Ericksen The Cauchy and Born Hypotheses for Crystals. , 1983 .

[40]  R. D. James,et al.  Proposed experimental tests of a theory of fine microstructure and the two-well problem , 1992, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.

[41]  Mitchell Luskin,et al.  The computation of the austenitic-martensitic phase transition , 1989 .

[42]  Smoothness of Linear Laminates , 1986 .

[43]  Mitchell Luskin,et al.  Numerical approximation of the solution of variational problem with a double well potential , 1991 .

[44]  J. L. Ericksen,et al.  Twinning of Crystals (I) , 1987 .

[45]  J. Ericksen Ill-Posed Problems in Thermoelasticity Theory , 1983 .

[46]  F. Murat,et al.  Remarks on Chacon’s biting lemma , 1989 .

[47]  L. Tartar,et al.  Etude des oscilaltions dans les equations aux derivees partielles non lineaires , 1984 .

[48]  David Kinderlehrer,et al.  Frustration in ferromagnetic materials , 1990 .

[49]  J. Ericksen,et al.  Constitutive theory for some constrained elastic crystals , 1986 .