The Boyarsky-Meyers estimate for second order elliptic equations in divergence form. Two spatial examples

DOI10.1007/S10958-022-06210-2OpenAlexW4310266615MaRDI QIDQ2683666

Gregory A. Chechkin, Tatiana P. Chechkina

Publication date: 14 February 2023

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-06210-2

zbMATH Keywords

Zaremba problemintegrability of the gradient

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65)

Related Items (2)

On higher integrability of the gradient of a solution to the Zaremba problem for \(p(\cdot)\)-Laplace equation in a plane domain ⋮ The Boyarsky-Meyers inequality for the Zaremba problem for \(p ( \cdot)\)-Laplacian

Cites Work

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• On some variational problems
• Many-dimensional Zaremba problem for an inhomogeneous \(p\)-Laplace equation
• Boyarsky-Meyers estimate for solutions to Zaremba problem
• Increased integrability of the gradient of the solution to the Zaremba problem for the Poisson equation
• Global gradient estimates for the \(p(\cdot)\)-Laplacian
• 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
• Gradient estimates for thep(x)-Laplacean system
• Sobolev Spaces

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