Boundary behavior near reentrant corners for solutions of certain elliptic equations

DOI10.1007/BF02844687zbMath0771.35022MaRDI QIDQ1192115

Kirk E. Lancaster

Publication date: 27 September 1992

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemminimal surface equationparametric representationradial limitsgeneral maximum principleboundary behavior of generalized solutionsconvex barriersequations of mean curvature typequasilinear non-uniformly elliptic partial differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Representations of solutions to partial differential equations (35C99) Generalized solutions to partial differential equations (35D99)

Related Items (2)

Behavior of a bounded non-parametric \(H\)-surface near a reentrant corner ⋮ On cusp solutions to a prescribed mean curvature equation

Cites Work

• Nonparametric minimal surfaces in \(R^ 3\) whose boundaries have a jump discontinuity
• On the behavior of a non-parametric minimal surface in a non-convex quadrilateral
• The behavior of a minimal surface in a corner
• Über ein verallgemeinertes Dirichletsches Problem für die Minimalflächengleichung und hebbare Unstetigkeiten ihrer Lösungen
• Remarks relevant to minimal surfaces and to surfaces of prescribed mean curvature
• Variational problems of minimal surface type. III: The Dirichlet problem with infinite data
• Infinite boundary value problems for surfaces of constant mean curvature
• Behaviour of solutions of elliptic differential inequalities near a point of discontinuous boundary data
• BOUNDARY BEHAVIOR OF A NON-PARAMETRIC MINIMAL SURFACE IN ℝ3 AT A NON-CONVEX POINT
• Shorter Notes: Nonexistence of Some Nonparametric Surfaces of Prescribed Mean Curvature
• Boundary Behavior of a Nonparametric Surface of Prescribed Mean Curvature Near a Reentrant Corner
• On new results in the theory of minimal surfaces
• The problem of dirichlet for quasilinear elliptic differential equations with many independent variables
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