Properties of nonnegative solutions of degenerate elliptic equations

DOI10.1007/BF02924995zbMath0566.35051OpenAlexW1971589772MaRDI QIDQ3681235

Eugene B. Fabes

Publication date: 1982

Published in: Rendiconti del Seminario Matematico e Fisico di Milano (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02924995

zbMATH Keywords

Green functionsnonnegative solutionsdegenerate elliptic equationsHarnack inequalitiesinterior behaviorhölderness of solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (8)

Fractional elliptic equations, Caccioppoli estimates and regularity ⋮ Evolutionary weighted \(p\)-Laplacian with boundary degeneracy ⋮ Hölder continuity of weak solutions of a class of linear equations with boundary degeneracy ⋮ A Schauder approach to degenerate-parabolic partial differential equations with unbounded coefficients ⋮ Degenerate linear parabolic equations in divergence form on the upper half space ⋮ Nondivergence form degenerate linear parabolic equations on the upper half space ⋮ On higher order boundary Harnack and analyticity of free boundaries ⋮ Schauder a priori estimates and regularity of solutions to boundary-degenerate elliptic linear second-order partial differential equations

Cites Work

• Degenerate parabolic equations and Harnack inequality
• The Wiener test for degenerate elliptic equations
• Boundary value problems for some degenerate-elliptic operators
• On the regularity of generalized solutions of linear, non-uniformly elliptic equations
• Continuity of Solutions of Parabolic and Elliptic Equations
• On functions of bounded mean oscillation
• On Harnack's theorem 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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