Isoperimetric cones and minimal solutions of partial overdetermined problems

DOI10.5565/PUBLMAT6512102zbMath1475.35213arXiv1905.10139OpenAlexW3108809683MaRDI QIDQ2231999

Giulio Tralli, Filomena Pacella

Publication date: 1 October 2021

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.10139

zbMATH Keywords

mixed boundary conditionsconstant mean curvature polar graphsisoperimetric conestorsional rigidity problemsZitat: 1445.35258

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Saint-Venant's principle (74G50) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Optimization of shapes other than minimal surfaces (49Q10) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)

Related Items (4)

Existence of nonradial domains for overdetermined and isoperimetric problems in nonconvex cones ⋮ Energy stability for a class of semilinear elliptic problems ⋮ Overdetermined problems and relative Cheeger sets in unbounded domains ⋮ Radial symmetry of solutions to anisotropic and weighted diffusion equations with discontinuous nonlinearities

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