Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The mean curvature of a set of finite perimeter
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by Elisabetta Barozzi, Eduardo Gonzalez and Italo Tamanini
Proc. Amer. Math. Soc. 99 (1987), 313-316
DOI: https://doi.org/10.1090/S0002-9939-1987-0870791-8

Abstract:

It is shown that an arbitrary set of finite perimeter in ${{\mathbf {R}}^n}$ minimizes some prescribed mean curvature functional given by an ${L^1}$ function on ${{\mathbf {R}}^n}$.
References
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  • Umberto Massari, Esistenza e regolarità delle ipersuperfice di curvatura media assegnata in $R^{n}$, Arch. Rational Mech. Anal. 55 (1974), 357–382 (Italian). MR 355766, DOI 10.1007/BF00250439
  • Umberto Massari, Frontiere orientate di curvatura media assegnata in$L^{p}$, Rend. Sem. Mat. Univ. Padova 53 (1975), 37–52 (Italian). MR 417905
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Bibliographic Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 99 (1987), 313-316
  • MSC: Primary 49F22; Secondary 49F20
  • DOI: https://doi.org/10.1090/S0002-9939-1987-0870791-8
  • MathSciNet review: 870791