Global regularity and stability of solutions to obstacle problems with nonstandard growth

DOI10.1007/s13163-011-0088-1zbMath1272.49013OpenAlexW2046793446WikidataQ110213616 ScholiaQ110213616MaRDI QIDQ365114

Teemu Lukkari, Michela Eleuteri, Petteri Harjulehto

Publication date: 4 September 2013

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-011-0088-1

zbMATH Keywords

stabilityvariational inequalitynonstandard growthobstacle problemboundary regularityglobal higher integrability

Mathematics Subject Classification ID

Variational inequalities (49J40) Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Regularity of solutions in optimal control (49N60) Perturbations in context of PDEs (35B20)

Related Items (18)

Global higher integrability for minimisers of convex obstacle problems with (p,q)-growth ⋮ The stability of parabolic problems with nonstandard \(p(x,t)\)-growth ⋮ Stability for evolution equations with variable growth ⋮ Regularity results for solutions to a class of obstacle problems ⋮ Lipschitz continuity results for a class of obstacle problems ⋮ Stability of solutions to obstacle problems with generalized Orlicz growth ⋮ Higher differentiability for bounded solutions to a class of obstacle problems with \((p, q)\)-growth ⋮ Existence of weak solutions to a certain homogeneous parabolic Neumann problem involving variable exponents and cross-diffusion ⋮ Global continuity and higher integrability of a minimizer of an obstacle problem under generalized Orlicz growth conditions ⋮ A two-obstacle problem with variable exponent and measure data ⋮ Regularity results for a class of non-autonomous obstacle problems with \((p,q)\)-growth ⋮ Removable sets in elliptic equations with Musielak-Orlicz growth ⋮ Higher differentiability for solutions to a class of obstacle problems ⋮ Regularity results for a class of obstacle problems with nonstandard growth ⋮ Removable sets in non-uniformly elliptic problems ⋮ Regularity results for a class of non-differentiable obstacle problems ⋮ Weighted distribution approach to gradient estimates for quasilinear elliptic double-obstacle problems in Orlicz spaces ⋮ Regularity results for solutions to obstacle problems with Sobolev coefficients

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