The boundary behavior of a solution to the Dirichlet problem for a linear degenerate second order elliptic equation

DOI10.1007/S10958-021-05605-XzbMath1480.35244OpenAlexW3211202675MaRDI QIDQ2246237

Mikhail D. Surnachev, Yury A. Alkhutov

Publication date: 16 November 2021

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

Full work available at URL: https://doi.org/10.1007/s10958-021-05605-x

zbMATH Keywords

Dirichlet problemlinear degenerate elliptic equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70)

Cites Work

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• Hölder continuity of solutions of an elliptic equation uniformly degenerating on part of the domain
• Harnack inequality for a class of second-order degenerate elliptic equations
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• Regularity of a boundary point for the \(p(x)\)-Laplacian
• The boundary behavior of a solution to the Dirichlet problem for the \(p\)-Laplacian with weight uniformly degenerate on a part of domain with respect to small parameter
• A class of degenerate elliptic equations
• The local regularity of solutions of degenerate elliptic equations
• Weakly Differentiable Functions
• Weighted norm inequalities for maximal functions and singular integrals
• Behavior of solutions of the Dirichlet Problem for the $p(x)$-Laplacian at a boundary point
• Weighted Norm Inequalities for the Hardy Maximal Function

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