On higher integrability of the gradient of solutions to the Zaremba problem for \(p\)-Laplace equation

DOI10.1134/s1064562423700825OpenAlexW4389285814MaRDI QIDQ6148169

Ciro D' Apice, Aleksandra G. Chechkina, Yury A. Alkhutov, M. A. Kisatov

Publication date: 11 January 2024

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562423700825

zbMATH Keywords

Dirichlet problem\(p\)-LaplacianNeumann problemintegral estimates for solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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• Boyarsky-Meyers estimate for solutions to Zaremba problem
• Increased integrability of the gradient of the solution to the Zaremba problem for the Poisson equation
• The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
• Improved integrability of the gradients of solutions of elliptic equations with variable nonlinearity exponent
• NON-LINEAR POTENTIAL THEORY
• Sobolev Spaces

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