On the behavior of a non-parametric minimal surface in a non-convex quadrilateral

DOI10.1007/BF00279863zbMath0619.49018MaRDI QIDQ1089609

Kirk E. Lancaster, Alan R. Elcrat

Publication date: 1986

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

generalized solutionsDirichlet problemminimal surface equationobstacle problemboundary behaviournonconvex quadrilateral

Mathematics Subject Classification ID

Variational inequalities (49J40) Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items

Behavior of prescribed mean curvature hypersurfaces on reentrant ridges ⋮ Existence and Nonexistence of Radial Limits of Minimal Surfaces ⋮ Conjugate plateau constructions in product spaces ⋮ Radial limits of nonparametric PMC surfaces with intermediate boundary curvature ⋮ On a minimal hypersurface in \(\mathbb{R}^4 \) ⋮ Boundary behavior near reentrant corners for solutions of certain elliptic equations ⋮ High order numerical approximation of minimal surfaces ⋮ Boundary behavior of rotationally symmetric prescribed mean curvature hypersurfaces in \(\mathbb{R}^4\) ⋮ Minimal surfaces, corners, and wires

Cites Work

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