Regularity of solutions of higher order nonlinear elliptic and parabolic equations

DOI10.1016/S0362-546X(97)00145-4zbMath0939.35034OpenAlexW2042799488MaRDI QIDQ4378445

Igor V. Skrypnik

Publication date: 3 May 2000

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00145-4

zbMATH Keywords

Harnack inequalityWiener criterionHölder continuity of weak solutions

Mathematics Subject Classification ID

Related Items (3)

Existence of Hölder continuous solutions for a class of degenerate fourth-order elliptic equations ⋮ Pointwise estimates of solutions to \(2 m\)-order quasilinear elliptic equations with \(m(p, q)\) growth via Wolff potentials ⋮ Removability of isolated singular points for fourth order elliptic equations with nonstandard growth

Cites Work

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• Some results on regularity for solutions of non-linear elliptic systems and quasi-regular functions
• A regularity condition at the boundary for solutions of quasilinear elliptic equations
• Local behavior of solutions of quasi-linear equations
• Linear and quasilinear elliptic equations
• Hölder continuity of solutions of elliptic systems
• On Harnack's theorem for elliptic differential equations

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