Minimalflächen mit polygonalem Rand

DOI10.1007/BF01173931zbMath0507.49027OpenAlexW1981523120MaRDI QIDQ1837389

Erhard Heinz

Publication date: 1983

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173340

zbMATH Keywords

singular pointslocal behaviourpolygonal boundaries

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Spectrum, resolvent (47A10)

Related Items (10)

On the Morse index of minimal surfaces in \({\mathbb{R}}^ p\) with polygonal boundaries ⋮ Finiteness of the number of solutions of Plateau's problem for polygonal boundary curves. II ⋮ Schwarz operators of minimal surfaces spanning polygonal boundary curves ⋮ On the numerical approximation and computation of minimal surface continua bounded by one-parameter families of polygonal contours ⋮ Local boundedness of the number of solutions of plateau's problem for polygonal boundary curves ⋮ Preface ⋮ Finiteness of the set of solutions of Plateau's problem for polygonal boundary curves ⋮ Professor Dr. Dr.h.c. Erhard Heinz (1924--2017) in memoriam ⋮ About the finiteness of the set of solutions of Plateau´s problem for polygonal boundary curves ⋮ Die zweite Variation von Minimalflächen im \({\mathbb{R}}^ p\) mit polygonalem Rand

Cites Work

• Über eine Verallgemeinerung des plateauschen Problems
• Stabilität mehrfach zusammenhängender Minimalflächen
• On the classification of unstable minimal surfaces with polygonal boundaries
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