Existence and regularity of hypersurfaces with prescribed mean curvature and a free boundary.

DOI10.1515/CRLL.1994.457.23zbMath0808.49035OpenAlexW105046554MaRDI QIDQ4314101

Frank Duzaar

Publication date: 12 March 1995

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002212145

zbMATH Keywords

Plateau problemenergy minimizing current

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Optimization of shapes other than minimal surfaces (49Q10)

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