Partial regularity for certain classes of polyconvex functionals related to nonlinear elasticity

DOI10.1007/BF02570458zbMath0827.73009OpenAlexW2022937887MaRDI QIDQ1895726

Jürgen Reuling, Fuchs, Martin

Publication date: 13 August 1995

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156071

zbMATH Keywords

sequence of regularized functionals

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Optimization of other properties in solid mechanics (74P10) Regularity of solutions in optimal control (49N60)

Related Items (11)

Hölder continuity for vectorial local minimizers of variational integrals ⋮ Regularity for minimizing sequences of some variational integrals ⋮ An extension of De Giorgi class and applications ⋮ Polyconvex functionals and maximum principle ⋮ A boundedness result for minimizers of some polyconvex integrals ⋮ Local boundedness for minimizers of some polyconvex integrals ⋮ A condition for the Hölder regularity of local minimizers of a nonlinear elastic energy in two dimensions ⋮ Global regularity for minimizers of some anisotropic variational integrals ⋮ Estimates for minimizers of some relaxed polyconvex functionals ⋮ Regularity for minimizers with positive Jacobian ⋮ An estimate concerning the difference between minimizer and boundary value in some polyconvex problems

Cites Work

• Convex functionals and partial regularity
• Convexity conditions and existence theorems in nonlinear elasticity
• Higher integrability of determinants and weak convergence in L1.
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
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