Partial regularity of local minimizers of quasiconvex integrals with sub-quadratic growth

DOI10.1017/S0308210500002900zbMath1059.49033OpenAlexW2116492166MaRDI QIDQ4454342

Antonia Passarelli Di Napoli, Menita Carozza

Publication date: 8 March 2004

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500002900

zbMATH Keywords

partial regularityquasiconvexitylocal minimizerssubquadratic growth

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Energy minimization in equilibrium problems in solid mechanics (74G65) Regularity of solutions in optimal control (49N60) Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45) Regularity of solutions of equilibrium problems in solid mechanics (74G40) Variational methods for second-order elliptic equations (35J20)

Related Items (6)

Lipschitz regularity for some asymptotically subquadratic problems ⋮ Partial regularity for BV minimizers ⋮ Regularity results for an optimal design problem with quasiconvex bulk energies ⋮ Ana prioriCampanato type regularity condition for local minimisers in the calculus of variations ⋮ Model problems from nonlinear elasticity: partial regularity results ⋮ Partial regularity for polyconvex functionals depending on the Hessian determinant

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