Quasilinear elliptic equations with small boundary data

DOI10.1007/BF01174012zbMath0576.35045OpenAlexW2062625925MaRDI QIDQ1065266

Chi-Ping Lau

Publication date: 1985

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155090

zbMATH Keywords

Dirichlet problemexistencequasilinear elliptic equationnon-existencebarrier functionscomparison argumentorder of non-uniformitysmall boundary data

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65)

Related Items (5)

The exterior Dirichlet problem for quasi-linear elliptic equations with small boundary data ⋮ Positive classical solutions of Dirichlet problem for the steady relativistic heat equation ⋮ Radial limits of nonparametric PMC surfaces with intermediate boundary curvature ⋮ Boundary continuity of nonparametric prescribed mean curvature surfaces ⋮ On the Dirichlet problem of prescribed mean curvature equations without H-convexity condition

Cites Work

• Unnamed Item
• Equations of mean curvature type in 2 independent variables
• Remarks relevant to minimal surfaces and to surfaces of prescribed mean curvature
• On equations of minimal surface type
• Elliptic Partial Differential Equations of Second Order
• The Dirichlet problem for the minimal surface equation in higher dimensions.
• Local estimates for gradients of solutions of non‐uniformly elliptic and parabolic equations

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