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Nonparametric minimal surfaces in \(R^ 3\) whose boundaries have a jump discontinuity

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Publication:910561
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DOI10.1155/S0161171288000791zbMath0696.35057MaRDI QIDQ910561

Kirk E. Lancaster

Publication date: 1988

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/46453

zbMATH Keywords

Dirichlet problemvariational solutionnonparametric minimal surfaces


Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Minimal surfaces and optimization (49Q05) Boundary values of solutions to elliptic equations and elliptic systems (35J67)


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Behavior of prescribed mean curvature hypersurfaces on reentrant ridges, Existence and Nonexistence of Radial Limits of Minimal Surfaces, Radial limits of nonparametric PMC surfaces with intermediate boundary curvature, Boundary behavior near reentrant corners for solutions of certain elliptic equations, On cusp solutions to a prescribed mean curvature equation, Boundary behavior of rotationally symmetric prescribed mean curvature hypersurfaces in \(\mathbb{R}^4\), Minimal surfaces, corners, and wires



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