Mean Curvature, The Laplacian, and Soap Bubbles
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Publication:4741955
DOI10.2307/2320201zbMath0505.53029OpenAlexW4231734512MaRDI QIDQ4741955
Publication date: 1982
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2320201
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Surfaces in Euclidean and related spaces (53A05) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)
Related Items (14)
New integral estimates in substatic Riemannian manifolds and the Alexandrov theorem ⋮ Nearly optimal stability for Serrin's problem and the soap bubble theorem ⋮ Finite element theory on curved domains with applications to discontinuous Galerkin finite element methods ⋮ Energy functionals from conformal gravity ⋮ Global Polynomial Level Sets for Numerical Differential Geometry of Smooth Closed Surfaces ⋮ A pointwise inequality for derivatives of solutions of the heat equation in bounded domains ⋮ The \(p\)-Laplacian overdetermined problem on Riemannian manifolds ⋮ Integral formulas for a class of curvature PDE's and applications to isoperimetric inequalities and to symmetry problems ⋮ Shape dependence of renormalized holographic entanglement entropy ⋮ Nonlinear diffusion with a bounded stationary level surface ⋮ The soap bubble theorem and a \(p \)-Laplacian overdetermined problem ⋮ On the inclusion of damping terms in the hyperbolic MBO algorithm ⋮ On the stability for Alexandrov's soap bubble theorem ⋮ Fractional thoughts
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