Geometric variational problems

DOI10.1007/BF01215388zbMath0307.49045MaRDI QIDQ1218180

A. T. Fomenko

Publication date: 1975

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Cites Work

• Unnamed Item
• On the oriented Plateau problem
• Existence and regularity almost everywhere of solutions to elliptic variational problems among surfaces of varying topological type and singularity structure
• Minimal varieties in Riemannian manifolds
• Minimal cones and the Bernstein problem
• Normal and integral currents
• The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension

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