Symmetry results for overdetermined problems on convex domains via Brunn-Minkowski inequalities
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Publication:659855
DOI10.1016/j.matpur.2011.09.001zbMath1235.35203OpenAlexW1998733924MaRDI QIDQ659855
Publication date: 24 January 2012
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2011.09.001
symmetryconvex bodiesGauss curvaturemean widthBrunn-Minkowski inequalitiesoverdetermined boundary value problems
Symmetries, invariants, etc. in context of PDEs (35B06) Boundary value problems for second-order elliptic systems (35J57) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)
Related Items (11)
Symmetry results for overdetermined problems via \(L_p\) Brunn-Minkowski inequalities ⋮ Hadamard variational formulas for \(p\)-torsion and \(p\)-eigenvalue with applications ⋮ Characterization of stadium-like domains via boundary value problems for the infinity Laplacian ⋮ Variational formula and overdetermined problem for the principal eigenvalue of \(k\)-Hessian operator ⋮ On Brunn-Minkowski type inequalities and overdetermined problem for \(p\)-capacity ⋮ On the Dirichlet and Serrin problems for the inhomogeneous infinity Laplacian in convex domains: regularity and geometric results ⋮ On the polar Orlicz Minkowski type problem for the general mixed \(\mathfrak{p}\)-capacity ⋮ Serrin-type theorems for triangles ⋮ Characterization of ellipsoids through an overdetermined boundary value problem of Monge-Ampère type ⋮ An overdetermined problem for a weighted Poisson's equation ⋮ Symmetry results for variational energies on convex polygons
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