On Shiffman's solution for the Plateau problem in a Riemannian manifold

DOI10.1215/KJM/1250521905zbMath0477.49023OpenAlexW1480271144WikidataQ115240383 ScholiaQ115240383MaRDI QIDQ1160893

Fumioki Asakura

Publication date: 1981

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250521905

zbMATH Keywords

minimal surfacecalculus of variationselliptic differential equationsPlateau problem

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Methods involving semicontinuity and convergence; relaxation (49J45) Second-order elliptic equations (35J15) Global Riemannian geometry, including pinching (53C20)

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A remark on free boundary Plateau problem for surfaces of general topological type

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