Many-dimensional Zaremba problem for an inhomogeneous \(p\)-Laplace equation

DOI10.1134/S1064562422040020zbMath1498.35306OpenAlexW4312622762MaRDI QIDQ2079175

Aleksandra G. Chechkina, Yury A. Alkhutov

Publication date: 29 September 2022

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

Full work available at URL: https://doi.org/10.1134/s1064562422040020

zbMATH Keywords

\(p\)-LaplacianZaremba problemhigher integrability of the gradient

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (6)

Multidimensional Zaremba problem for the \(p(\cdot)\)-Laplace equation. A Boyarsky-Meyers estimate ⋮ The Boyarsky-Meyers estimate for second order elliptic equations in divergence form. Two spatial examples ⋮ On higher integrability of the gradient of a solution to the Zaremba problem for \(p(\cdot)\)-Laplace equation in a plane domain ⋮ On the existence of solutions of the Dirichlet problem for the \(p\)-Laplacian on Riemannian manifolds ⋮ The Boyarsky-Meyers inequality for the Zaremba problem for \(p ( \cdot)\)-Laplacian ⋮ On Zaremba problem for \(p\)-elliptic equation

Cites Work

• Increased integrability of the gradient of the solution to the Zaremba problem for the Poisson equation
• Monotonicity conditions for a class of quasilinear differential operators depending on parameters
• The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
• Sobolev Spaces
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