𝑄 valued functions minimizing Dirichlet’s integral and the regularity of area minimizing rectifiable currents up to codimension two

DOI10.1090/S0273-0979-1983-15106-6zbMath0529.49021WikidataQ61311654 ScholiaQ61311654MaRDI QIDQ5896194

Frederick J. jun. Almgren

Publication date: 1983

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

zbMATH Keywords

singular sets

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) 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) Length, area, volume, other geometric measure theory (28A75) Stratified sets (58A35) Currents in global analysis (58A25)

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Cites Work

• 𝑄 valued functions minimizing Dirichlet’s integral and the regularity of area minimizing rectifiable currents up to codimension two
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