Two-Dimensional Nonlinear Boundary Value Problems for Elliptic Equations

DOI10.2307/2000599zbMATH Open0627.35038OpenAlexW4242511699MaRDI QIDQ3762954

Gary M. Lieberman

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000599

zbMATH Keywords

continuity estimatesuniformly ellipticobliquenessregularity hypotheses

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) A priori estimates in context of PDEs (35B45) Boundary values of solutions to elliptic equations and elliptic systems (35J67)

Cites Work

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• Regularized distance and its applications
• Intermediate Schauder estimates
• The Dirichlet problem for quasilinear elliptic equations with Hölder continuous boundary values
• On an Interpolation Inequality and Its Applications to Nonlinear Elliptic Equations
• Some nonlinear boundary value problems for nonlinear elliptic equations of second order in the plane
• The dirichlet problem for quasilinear elliptic equations with continuously differentiable boundary data
• Nonlinear Oblique Boundary Value Problems for Nonlinear Elliptic Equations
• The quasilinear dirichlet problem with decreased regularity at the boundary
• Boundary regularlty for solutions to various capillarity and free boundary problems
• APPLICATION OF A NON-LINEAR BOUNDARY-VALUE PROBLEM FOR LAPLACE'S EQUATION TO GRAVITY AND GEOMAGNETIC INTENSITY SURVEYS

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