Regularity results for a class of obstacle problems with nonstandard growth
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Publication:739503
DOI10.1016/j.jmaa.2016.06.070zbMath1347.35057OpenAlexW2463762940MaRDI QIDQ739503
Publication date: 18 August 2016
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.06.070
Smoothness and regularity of solutions to PDEs (35B65) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)
Related Items
Global higher integrability for minimisers of convex obstacle problems with (p,q)-growth ⋮ Regularity results for nonlinear parabolic obstacle problems with subquadratic growth ⋮ Lipschitz continuity results for a class of obstacle problems ⋮ Calderón-Zygmund estimates in generalized Orlicz spaces ⋮ Partial regularity for minimizers of a class of non autonomous functionals with nonstandard growth ⋮ Characterization of generalized Orlicz spaces ⋮ \( \mathcal{B}_1\) classes of De Giorgi-Ladyzhenskaya-Ural'tseva and their applications to elliptic and parabolic equations with generalized Orlicz growth conditions ⋮ Calderón-Zygmund estimates for a class of obstacle problems with nonstandard growth ⋮ Hölder continuity of $\omega$-minimizers of functionals with generalized Orlicz growth ⋮ Hölder regularity of quasiminimizers under generalized growth conditions ⋮ Removable sets in elliptic equations with Musielak-Orlicz growth ⋮ Higher differentiability for solutions to a class of obstacle problems ⋮ Removable sets in non-uniformly elliptic problems ⋮ Regularity results for a class of non-differentiable obstacle problems
Cites Work
- Unnamed Item
- Unnamed Item
- Lipschitz continuity for energy integrals with variable exponents
- Gradient estimates for elliptic equations with \(L^{p(\cdot )}\log L\) growth
- Global gradient estimates for nonlinear obstacle problems with nonstandard growth
- Lipschitz estimates for systems with ellipticity conditions at infinity
- Global regularity and stability of solutions to obstacle problems with nonstandard growth
- Existence of localizable solutions to nonlinear parabolic problems with irregular obstacles
- Bounded minimisers of double phase variational integrals
- Lebesgue and Sobolev spaces with variable exponents
- Degenerate parabolic equations
- Local boundedness for vector valued minimizers of anisotropic functionals
- A regularity theory for a general class of quasilinear elliptic partial differential equations and obstacle problems
- Everywhere regularity of functionals with \(\varphi \)-growth
- The maximal operator on generalized Orlicz spaces
- Calderón-Zygmund estimates and non-uniformly elliptic operators
- Regularity results for a class of obstacle problems under nonstandard growth conditions
- Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
- On Lavrentiev's phenomenon
- Higher integrability for minimizers of integral functionals with nonstandard growth
- Regularity results for a new class of functionals with non-standard growth conditions
- Regularity for double phase variational problems
- Harnack inequalities for double phase functionals
- Hölder estimates for parabolic obstacle problems
- An obstacle problem and superharmonic functions with nonstandard growth
- Generalized Orlicz spaces and related PDE
- Calderón-Zygmund type estimates for a class of obstacle problems with \(p(x)\) growth
- Regularity and existence of solutions of elliptic equations with p,q- growth conditions
- Non-autonomous functionals, borderline cases and related function classes
- Degenerate problems with irregular obstacles
- A Hölder continuity result for a class of obstacle problems under non standard growth conditions
- Existence of weak solutions for elliptic systems with p,q-growth
- Fractional estimates for non-differentiable elliptic systems with general growth
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Interior regularity for solutions to obstacle problems
- On the Obstacle Problem for Quasilinear Elliptic Equations of p Laplacian Type
- Hölder continuity of the gradient of p(x)-harmonic mappings
- Regularity results for a class of functionals with non-standard growth
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