Interior gradient bounds for local minimizers of variational integrals under nonstandard growth conditions

DOI10.1007/s10958-009-9751-1zbMath1357.49010OpenAlexW2049448612MaRDI QIDQ2256659

Michael Bildhauer, Darya E. Apushkinskaya, Fuchs, Martin

Publication date: 20 February 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9751-1

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Existence theories for free problems in two or more independent variables (49J10)

Related Items (11)

Regularity results for local minimizers of energies with general densities having superquadratic growth ⋮ Local Lipschitz continuity for energy integrals with slow growth ⋮ Differentiability and higher integrability results for local minimizers of splitting-type variational integrals in 2D with applications to nonlinear Hencky-materials ⋮ Optimal gradient estimates for multi-phase integrals ⋮ Two-dimensional variational problems with a wide range of anisotropy ⋮ Liouville theorems for entire local minimizers of energies defined on the class \(L \log L\) and for entire solutions of the stationary Prandtl-Eyring fluid model ⋮ Lipschitz regularity for constrained local minimizers of convex variational integrals with a wide range of anisotropy ⋮ On local generalized minimizers and local stress tensors for variational problems with linear growth ⋮ Local boundedness for vector valued minimizers of anisotropic functionals ⋮ Local lipschitz regularity of vector valued local minimizers of variational integrals with densities depending on the modulus of the gradient ⋮ Unnamed Item

Cites Work

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• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Interior behaviour of minimizers for certain functionals with nonstandard growth

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