Schiffer problem and isoparametric hypersurfaces

DOI10.4171/RMI/283zbMath0976.35015MaRDI QIDQ5929436

Vladimir E. Shklover

Publication date: 2 January 2002

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39616

zbMATH Keywords

homogeneous boundary value problemisoparametric hypersurfacesoverdetermined boundary value problemSchiffer problem

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Boundary value problems for second-order elliptic equations (35J25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Boundary value problems on manifolds (58J32) Overdetermined systems of PDEs with constant coefficients (35N05)

Related Items (12)

Heat flow, heat content and the isoparametric property ⋮ Serrin’s type problems in warped product manifolds ⋮ A geometric approach to the classification of the equilibrium shapes of self-gravitating fluids ⋮ Characterization of \(f\)-extremal disks ⋮ Symmetry of solutions to semilinear PDEs on Riemannian domains ⋮ Homogeneous hypersurfaces in symmetric spaces ⋮ Isoparametric foliations and the Pompeiu property ⋮ Schiffer's problem and an isoperimetric inequality for the first buckling eigenvalue of domains on \(\mathbb S^2\) ⋮ Geometric rigidity of constant heat flow ⋮ Symmetry for an overdetermined boundary problem in a punctured domain ⋮ On the heat content functional and its critical domains ⋮ A symmetry result for the \(p\)-Laplacian in a punctured manifold

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