On higher integrability of the gradient of a solution to the Zaremba problem for \(p(\cdot)\)-Laplace equation in a plane domain

DOI10.1134/s1995080223080048OpenAlexW4389103097MaRDI QIDQ6140418

Gregory A. Chechkin, Yury A. Alkhutov

Publication date: 22 January 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080223080048

zbMATH Keywords

\(p(\cdot)\)-LaplacianZaremba problemintegrabililty of the gradient of the solution

Mathematics Subject Classification ID

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

Cites Work

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• The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
• The Boyarsky-Meyers estimate for second order elliptic equations in divergence form. Two spatial examples
• Improved integrability of the gradients of solutions of elliptic equations with variable nonlinearity exponent
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• Sobolev Spaces

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