Model problems from nonlinear elasticity: partial regularity results

DOI10.1051/cocv:2007007zbMath1221.35132OpenAlexW2130340302MaRDI QIDQ5898655

Antonia Passarelli Di Napoli, Menita Carozza

Publication date: 2 March 2007

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=COCV_2007__13_1_120_0

zbMATH Keywords

partial regularitypolyconvexityNonlinear elasticity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) Regularity of solutions of equilibrium problems in solid mechanics (74G40)

Related Items (10)

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 ⋮ Local boundedness for minimizers of some polyconvex integrals ⋮ A regularity result for a convex functional and bounds for the singular set ⋮ Global regularity for minimizers of some anisotropic variational integrals ⋮ Estimates for minimizers of some relaxed polyconvex functionals ⋮ A trace preserving operator and applications ⋮ An estimate concerning the difference between minimizer and boundary value in some polyconvex problems

Cites Work

• Unnamed Item
• Unnamed Item
• Partial regularity of minimizers of quasiconvex integrals
• 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
• Regularity for minimizers of non-quadratic functionals: The case \(1<p<2\)
• Partial regularity of strong local minimizers in the multi-dimensional calculus of variations
• A regularity result for a class of polyconvex functionals
• Partial regularity of minimizers of quasiconvex integrals with subquadratic growth
• Some Open Problems in Elasticity
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Partial Regularity in Problems Motivated by Nonlinear Elasticity
• Partial regularity of local minimizers of quasiconvex integrals with sub-quadratic growth
• A regularity theorem for minimisers of quasiconvex integrals: the case 1 <p<2
• Direct methods in the calculus of variations

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