The structure of singularities in area-related variational problems with constraints

DOI10.1090/S0002-9904-1975-13930-9zbMath0326.49032MaRDI QIDQ4090969

Jean E. Taylor

Publication date: 1975

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

Mathematics Subject Classification ID

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) Integral geometry (53C65)

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Cites Work

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• Regularity of the singular sets of two-dimensional area-minimizing flat chains modulo 3 in R\(^3\)
• An epiperimetric inequality related to the analyticity of minimal surfaces
• On the first variation of a varifold
• Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints
• Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints