On Harnack type theorems for nonlinear higher order elliptic equations

DOI10.1016/S0362-546X(01)00739-8zbMath1290.35066MaRDI QIDQ1612559

Igor V. Skrypnik, Francesco Nicolosi

Publication date: 25 August 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

Harnack inequalitynonlinear elliptic equationHölder continuity of solutionhigher order equationHarnack convergence theorem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Higher-order elliptic equations (35J30)

Related Items (5)

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 ⋮ Fourth-order nonlinear elliptic equations with lower order term and natural growth conditions ⋮ On the generalized \(\mathfrak{U}_{m, p}^f\) classes of De Giorgi-ladyzhenskaya-ural'tseva and pointwise estimates of solutions to high-order elliptic equations via Wolff potentials ⋮ On Harnack inequality for degenerate nonlinear higher-order elliptic equations

Cites Work

• Local behavior of solutions of quasi-linear equations
• Examples of nonregular solutions of quasilinear elliptic equations with analytic coefficients
• On functions of bounded mean oscillation
• On Harnack's theorem for elliptic differential equations
• On harnack type inequalities and their application to quasilinear elliptic equations
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