Local bounds for solutions of higher order nonlinear elliptic partial differential equations

DOI10.1007/BF01110368zbMath0212.44902OpenAlexW2068963626MaRDI QIDQ2544682

Kjell-Ove Widman

Publication date: 1971

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

Full work available at URL: https://eudml.org/doc/171545

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05)

Related Items

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, On a new class of systems of degenerate nonlinear elliptic higher-order equations, On the existence of bounded generalized solutions of the Dirichlet problem for a class of nonlinear high-order elliptic equations, ON A CLASS OF SOBOLEV FUNCTIONS AND ITS APPLICATIONS TO HIGHER-ORDER ELLIPTIC EQUATIONS, 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, Higher order nonlinear elliptic equations

Cites Work

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• Local behavior of solutions of quasi-linear equations
• On Harnack's theorem for elliptic differential equations
• Inequalities for the Green Function and Boundary Continuity of the Gradient of Solutions of Elliptic Differential Equations.