The Boyarsky-Meyers inequality for the Zaremba problem for \(p ( \cdot)\)-Laplacian

DOI10.1007/S10958-023-06611-XOpenAlexW4386096658MaRDI QIDQ6187912

Gregory A. Chechkin, Yury A. Alkhutov

Publication date: 1 February 2024

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

Full work available at URL: https://doi.org/10.1007/s10958-023-06611-x

zbMATH Keywords

\(p(\cdot)\)-LaplacianZaremba problemintegrability of solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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• 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
• 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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