Pointwise estimates for a model problem in nonlinear elasticity

DOI10.1515/FORUM.2006.027zbMath1125.49029MaRDI QIDQ5476400

Francesco Leonetti

Publication date: 14 July 2006

Published in: Forum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

regularity propertiesminimizing variational integrals

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Nonlinear elliptic equations (35J60) Regularity of solutions in optimal control (49N60)

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Local boundedness of vectorial minimizers of non-convex functionals, Hölder continuity for vectorial local minimizers of variational integrals, Regularity for minimizing sequences of some variational integrals, Polyconvex functionals and maximum principle, A boundedness result for minimizers of some polyconvex integrals, Regularity of minima: an invitation to the dark side of the calculus of variations., Local boundedness for minimizers of some polyconvex integrals, Generalizations of Stampacchia Lemma and applications to quasilinear elliptic systems, Global regularity for minimizers of some anisotropic variational integrals, Estimates for minimizers of some relaxed polyconvex functionals, Finding nicer mappings with lower or equal energy in nonlinear elasticity, Regularity for minimizers with positive Jacobian, An estimate concerning the difference between minimizer and boundary value in some polyconvex problems

Cites Work

• Quasiconvexity and partial regularity in the calculus of variations
• A regularity theorem for minimizers of quasiconvex integrals
• Convexity conditions and existence theorems in nonlinear elasticity
• Univalent minimizers of polyconvex functionals in two dimensions
• Partial Regularity in Problems Motivated by Nonlinear Elasticity