Harnack inequality for a class of second-order degenerate elliptic equations

DOI10.1134/S0081543812060016zbMath1307.35119MaRDI QIDQ744270

E. A. Khrenova, Yury A. Alkhutov

Publication date: 7 October 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Harnack inequalityMuckenhoupt weightdivergence formsecond-order degenerate elliptic equation

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Second-order elliptic equations (35J15)

Related Items (11)

Hölder continuity of solutions to nonlinear parabolic equations degenerated on a part of the domain ⋮ Harnack inequality for elliptic \((p, q)\)-Laplacian with partially Muckenhoupt weight ⋮ Harnack inequality for the solutions of the \(p\)-Laplacian with a partially Muckenhoupt weight ⋮ On the Hölder continuity of solutions to nonlinear parabolic equations degenerating on part of the domain ⋮ 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 ⋮ Unnamed Item ⋮ On a Harnack inequality for the elliptic \((p,q)\)-Laplacian ⋮ The boundary behavior of a solution to the Dirichlet problem for a linear degenerate second order elliptic equation ⋮ Hölder continuity of solutions of an elliptic \(p(x)\)-Laplace equation uniformly degenerate on a part of the domain ⋮ Unnamed Item ⋮ Hölder continuity and the Harnack inequality for the solutions of an elliptic equation containing the \(p\)-Laplacian and uniformly degenerating in a part of the domain

Cites Work

• Unnamed Item
• Hölder continuity of solutions of an elliptic equation uniformly degenerating on part of the domain
• On the Hölder property of solutions of degenerate elliptic equations.
• A class of degenerate elliptic equations
• A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
• The local regularity of solutions of degenerate elliptic equations
• Weighted norm inequalities for maximal functions and singular integrals
• Weighted Norm Inequalities for the Hardy Maximal Function

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