Sets of Finite Perimeter and the Gauss-Green Theorem with Singularities

DOI10.1112/jlms/52.2.335zbMath0835.26008OpenAlexW2152641642MaRDI QIDQ4864055

Dirk Jens F. Nonnenmacher

Publication date: 29 January 1996

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

Full work available at URL: https://doi.org/10.1112/jlms/52.2.335

zbMATH Keywords

singularitiesGauss-Green theoremcritical boundarydivergence theoremset of finite perimeter

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Denjoy and Perron integrals, other special integrals (26A39) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20)

Related Items (5)

On the theory of divergence-measure fields and its applications ⋮ Gauss‐Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws ⋮ Coercivity for elliptic operators and positivity of solutions on Lipschitz domains ⋮ The divergence theorem for unbounded vector fields ⋮ On the divergence theorem on manifolds

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