On Harnack inequality for degenerate nonlinear higher-order elliptic equations

DOI10.1080/00036810600793327zbMath1207.35162OpenAlexW2163147462WikidataQ58174220 ScholiaQ58174220MaRDI QIDQ5481716

S. D'Asero

Publication date: 10 August 2006

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810600793327

zbMATH Keywords

Harnack inequalitynonlinear elliptic equationMuckenhoupt weightMoser iteration methodHölder continuity of solutionshigher-order equationweighted embedding

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) A priori estimates in context of PDEs (35B45)

Related Items (10)

Morrey estimates for some classes of elliptic equations with a lower order term ⋮ Existence of Hölder continuous solutions for a class of degenerate fourth-order elliptic equations ⋮ Morrey estimates for a class of elliptic equations with drift term ⋮ Morrey estimates for solutions of singular quadratic nonlinear equations ⋮ Morrey estimates for a class of noncoercive elliptic systems with VMO-coefficients ⋮ Bounded solutions of fourth-order nonlinear elliptic equations with convection terms ⋮ Fourth-order nonlinear elliptic equations with lower order term and natural growth conditions ⋮ On the existence of weak solutions to a class of nonlinear elliptic systems with drift term ⋮ On the existence of weak solutions to a class of nonlinear elliptic systems with drift term ⋮ Hölder continuity up to the boundary of solutions to nonlinear fourth-order elliptic equations with natural growth terms

Cites Work

• Unnamed Item
• On Harnack type theorems for nonlinear higher order elliptic equations
• Local behavior of solutions of quasi-linear equations
• Weighted Poincare and Sobolev Inequalities and Estimates for Weighted Peano Maximal Functions
• On Harnack's theorem for elliptic differential equations
• On Weighted Estimates of Solutions for Nonlinear Higher Order Elliptic Problems

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