Removable sets for Hölder continuous solutions of quasilinear elliptic equations with lower order terms

DOI10.1007/s00208-012-0845-6zbMath1266.31012OpenAlexW2045070488MaRDI QIDQ1952298

Takayori Ono

Publication date: 30 May 2013

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-012-0845-6

zbMATH Keywords

Hölder continuous solutionsremovable setsquasilinear second order elliptic equation

Mathematics Subject Classification ID

Special properties of functions of several variables, Hölder conditions, etc. (26B35) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (5)

Hölder continuity of solutions for quasilinear elliptic equations with gradient terms and measures ⋮ Removable sets for Hölder continuous solutions of elliptic equations involving variable exponent ⋮ Removable sets for continuous solutions of semilinear elliptic equations ⋮ Removable sets in elliptic equations with Musielak-Orlicz growth ⋮ Removable sets in non-uniformly elliptic problems

Cites Work

• Renormalized solutions of Dirichlet problems for quasilinear elliptic equations with general measure data
• Hölder continuity of solutions to quasilinear elliptic equations involving measures
• Resolubility of ideal boundary for nonlinear Dirichlet problems
• Removable sets for continuous solutions of quasilinear elliptic equations
• Local Behavior of Solutions of Quasilinear Elliptic Equations With General Structure
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Interior regularity for solutions to obstacle problems
• Properties of harmonic boundary in nonlinear potential theory
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