Boundary regularity for area minimizing currents with prescribed volume

DOI10.1007/BF02921634zbMath0976.53066OpenAlexW1969748245MaRDI QIDQ1298369

Frank Duzaar

Publication date: 1997

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

Full work available at URL: https://doi.org/10.1007/bf02921634

zbMATH Keywords

constant mean curvaturevolume constraintboundary regularitymass minimizing

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (1)

\(\lambda\) minimizing currents

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Large H-surfaces via the mountain-pass-lemma
• Nonuniqueness in the Plateau problem for surfaces of constant mean curvature
• On the nonuniqueness of surfaces with constant mean curvature spanning a given contour
• Area minimizing hypersurfaces with prescribed volume and boundary
• The non-existence of branch points in solutions to certain classes of Plateau type variational problems
• Il problema della capillarita su domini non regolari
• Boundary regularity for minimizing currents with prescribed mean curvature
• \(\lambda\) minimizing currents
• Boundary regularity for solutions of a partitioning problem
• Flächen konstanter mittlerer Krümmung mit vorgegebenem Volumen oder Flächeninhalt
• Multiple solutions ofH-systems and Rellich's conjecture
• Comparison principles for hypersurfaces of prescribed mean curvature.
• Boundary regularity and embedded solutions for the oriented Plateau problem

This page was built for publication: Boundary regularity for area minimizing currents with prescribed volume