Optimal isoperimetric inequalities

DOI10.1090/S0273-0979-1985-15393-5zbMath0572.49022OpenAlexW2053381475MaRDI QIDQ3689768

Frederick J. jun. Almgren

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1090/s0273-0979-1985-15393-5

zbMATH Keywords

optimal isoperimetric inequalitiesgeneral dimensions and codimensions

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)

Related Items (4)

Size-minimizing rectifiable currents ⋮ On the minimization of Dirichlet eigenvalues of the Laplace operator ⋮ An isoperimetric comparison theorem ⋮ The mathematics of F. J. Almgren, jun

Cites Work

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• Existence of least-area mappings of N-dimensional domains
• Mappings that minimize area in their homotopy classes
• Normal and integral currents
• The isoperimetric inequality

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