Singular quasilinear elliptic equations and Hölder regularity

DOI10.1016/j.crma.2012.04.007zbMath1275.35106OpenAlexW1972423504MaRDI QIDQ424750

Peter Takáč, Jacques Giacomoni, Ian Schindler

Publication date: 4 June 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2012.04.007

zbMATH Keywords

Hölder continuityquasilinear elliptic equationssingular elliptic equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09) Singular elliptic equations (35J75)

Related Items (6)

Positive solutions for nonlinear Choquard equation with singular nonlinearity ⋮ On a singular minimizing problem ⋮ On Dirichlet problem for fractional \(p\)-Laplacian with singular non-linearity ⋮ Unnamed Item ⋮ Existence of multiple solution for a singular \(p(x)\)-Laplacian problem ⋮ Singular doubly nonlocal elliptic problems with Choquard type critical growth nonlinearities

Cites Work

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• Regularity for a more general class of quasilinear equations
• A strong maximum principle for some quasilinear elliptic equations
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Boundary regularity for solutions of degenerate elliptic equations
• Regularity of an elliptic problem with a singular nonlinearity

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