On a minimal hypersurface in \(\mathbb{R}^4 \)

DOI10.1007/s12220-019-00181-8zbMath1441.53007OpenAlexW2925869325MaRDI QIDQ1985350

Ammar Khanfer, Kirk E. Lancaster

Publication date: 7 April 2020

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-019-00181-8

zbMATH Keywords

Dirichlet problemminimal hypersurfaceradial limitvariational solutionconical pointnon-classical solution

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (2)

Behavior of prescribed mean curvature hypersurfaces on reentrant ridges ⋮ Boundary behavior of rotationally symmetric prescribed mean curvature hypersurfaces in \(\mathbb{R}^4\)

Cites Work

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• BOUNDARY BEHAVIOR OF A NON-PARAMETRIC MINIMAL SURFACE IN ℝ3 AT A NON-CONVEX POINT
• Boundary Behavior of a Nonparametric Surface of Prescribed Mean Curvature Near a Reentrant Corner
• Numerical Solution of the Minimal Surface Equation
• On the Local Behavior of Solutions of Non-Parabolic Partial Differential Equations

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