Characterizing spheres by functional relations on solutions of elliptic and parabolic equations

DOI10.1080/00036819108840008zbMath0668.35033OpenAlexW1990841442MaRDI QIDQ3821009

Giovanni Alessandrini

Publication date: 1991

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819108840008

zbMATH Keywords

symmetryeigenvalue problemsmoothnesslevel surfacesbounded connected domain

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Heat equation (35K05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (4)

The Matzoh Ball Soup Problem: a complete characterization ⋮ Characterization of ellipses as uniformly dense sets with respect to a family of convex bodies ⋮ When are the spatial level surfaces of solutions of diffusion equations invariant with respect to the time variable? ⋮ Matzoh ball soup revisited: the boundary regularity issue

Cites Work

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• A symmetry problem in potential theory
• On the behavior of the solutions of the differential equation ΔU = F(x,u) in the neighborhood of a point

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