Calderón–Zygmund theory for asymptotically regular nonlinear elliptic problems with double obstacles

DOI10.1080/17476933.2022.2110243OpenAlexW4293223784MaRDI QIDQ6146091

Jiaxiang Zhang, Shuang Liang

Publication date: 10 January 2024

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2022.2110243

zbMATH Keywords

Calderón-Zygmund-type estimatenonlinear elliptic double obstacle problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60)

Cites Work

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• New perturbation methods for nonlinear parabolic problems
• Global estimates for quasilinear elliptic equations on Reifenberg flat domains
• Gradient estimates below the duality exponent
• Asymptotically regular problems I: Higher integrability
• Global Lorentz and Lorentz-Morrey estimates below the natural exponent for quasilinear equations
• Global regularity for almost minimizers of nonconvex variational problems
• Regularity for a more general class of quasilinear equations
• Interior gradient estimates for weak solutions of quasilinear \(p\)-Laplacian type equations
• Global Sobolev regularity for general elliptic equations of \(p\)-Laplacian type
• Calderón-Zygmund estimate for asymptotically regular non-uniformly elliptic equations
• Gradient estimates for nonlinear elliptic double obstacle problems
• Regularity results for a class of non-differentiable obstacle problems
• Lorentz estimates for obstacle parabolic problems
• Interior gradient estimates for quasilinear elliptic equations
• Weighted Lorentz estimate for asymptotically regular parabolic equations of \(p(x, t)\)-Laplacian type
• Lorentz estimates for degenerate and singular evolutionary systems
• Global Calderón–Zygmund Theory for Asymptotically Regular Nonlinear Elliptic and Parabolic Equations
• Asymptotically regular problems II: Partial Lipschitz continuity and a singular set of positive measure
• Linearisation at infinity and Lipschitz estimates for certain problems in the calculus of variations
• Lipschitz regularity of solutions of some asymptotically convex problems
• Weighted Norm Inequalities for the Hardy Maximal Function

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