Existence and Nonexistence of Radial Limits of Minimal Surfaces

DOI10.2307/2047432zbMath0686.35046OpenAlexW4241549291MaRDI QIDQ4204516

Kirk E. Lancaster

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2047432

zbMATH Keywords

minimal surface equationradial limits

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Hyperbolic conservation laws (35L65) Boundary values of solutions to elliptic equations and elliptic systems (35J67)

Related Items (7)

Behavior of prescribed mean curvature hypersurfaces on reentrant ridges ⋮ A capillary surface with no radial limits ⋮ Radial limits of nonparametric PMC surfaces with intermediate boundary curvature ⋮ Boundary continuity of nonparametric prescribed mean curvature surfaces ⋮ On cusp solutions to a prescribed mean curvature equation ⋮ Radial limits of capillary surfaces at corners ⋮ Boundary behavior of rotationally symmetric prescribed mean curvature hypersurfaces in \(\mathbb{R}^4\)

Cites Work

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• Boundary Behavior of a Nonparametric Surface of Prescribed Mean Curvature Near a Reentrant Corner
• Boundary behaviour of solutions of the non-parametric least area problem
• On new results in the theory of minimal surfaces

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