Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints

DOI10.1090/S0002-9904-1975-13681-0zbMath0297.49041MaRDI QIDQ4051205

Frederick J. jun. Almgren

Publication date: 1975

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Variational problems in a geometric measure-theoretic setting (49Q20) Polyhedra and polytopes; regular figures, division of spaces (51M20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Biomechanical solid mechanics (74L15) Reaction effects in flows (76V05) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items (9)

Existence and soap film regularity of solutions to Plateau's problem ⋮ Min-max minimal hypersurfaces with obstacle ⋮ Existence and regularity of Faber-Krahn minimizers in a Riemannian manifold ⋮ On the phase connectedness of the volume-constrained area minimizing partitioning problem ⋮ Soap film solutions to Plateau's problem ⋮ The structure of singularities in area-related variational problems with constraints ⋮ Plateau’s Problem ⋮ The mathematics of F. J. Almgren, jun ⋮ Isoperimetric inequalities for submanifolds. Jellett-Minkowski's formula revisited

Cites Work

• Existence and regularity almost everywhere of solutions to elliptic variational problems among surfaces of varying topological type and singularity structure
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