Singularity and regularity of solutions to a certain class of degenerate elliptic equations

DOI10.1016/j.na.2008.10.130zbMath1173.35509OpenAlexW2051102271MaRDI QIDQ1021761

Xiang Rong Zhu

Publication date: 9 June 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.10.130

zbMATH Keywords

degenerate elliptic equationhomogeneous harmonic polynomial

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) Continuation and prolongation of solutions to PDEs (35B60)

Cites Work

• Unnamed Item
• An elementary proof of Harnack's inequality for Schrödinger operators and related topics
• Hölder-continuity of solutions for some Schrödinger equations
• Harmonic and quasi-harmonic spheres
• Hölder continuity for solutions of linear degenerate elliptic equations under minimal assumptions
• Elliptic equations strongly degenerate at a point
• Regularity for quasilinear degenerate elliptic equations
• Harnack's Inequality for Schrodinger Operators and the Continuity of Solutions
• The local regularity of solutions of degenerate elliptic equations
• Harnack inequalities for fuchsian type weighted elliptic equations
• Harnack's Inequality for Degenerate Schrodinger Operators

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