Geometric rigidity of constant heat flow
From MaRDI portal
Publication:1787133
DOI10.1007/s00526-018-1434-7zbMath1398.58009arXiv1709.03447OpenAlexW2964302441WikidataQ115387211 ScholiaQ115387211MaRDI QIDQ1787133
Publication date: 4 October 2018
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.03447
Estimates of eigenvalues in context of PDEs (35P15) Boundary value problems on manifolds (58J32) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
Related Items (4)
Symmetry of solutions to semilinear PDEs on Riemannian domains ⋮ Homogeneous hypersurfaces in symmetric spaces ⋮ Isoparametric foliations and the Pompeiu property ⋮ On the heat content functional and its critical domains
Cites Work
- Sharp eigenvalue bounds and minimal surfaces in the ball
- Heat flow, heat content and the isoparametric property
- Isoparametric foliation and Yau conjecture on the first eigenvalue
- Sharp bounds for the first eigenvalue of a fourth-order Steklov problem
- On the first eigenvalue of the Dirichlet-to-Neumann operator on forms
- Serrin's over-determined problem on Riemannian manifolds
- Isoparametrische Hyperflächen in Sphären. I
- Foliations by constant mean curvature tubes
- Symmetry theorems for the overdetermined eigenvalue problems
- Serrin's overdetermined problem and constant mean curvature surfaces
- Isoparametric functions on Riemannian manifolds. I
- Isoparametrische Hyperflächen in Sphären. II: Über die Zerlegung der Sphäre in Ballbündel
- An inverse spectral theorem and its relation to the Pompeiu problem
- A partial solution of the Pompeiu problem
- Uniform estimates and the whole asymptotic series of the heat content on manifolds
- Serrin's overdetermined problem on the sphere
- Asymptotics of the heat flow on a manifold with smooth boundary
- Geometry of isoparametric hypersurfaces in Riemannian manifolds
- Domain deformations and eigenvalues of the Dirichlet Laplacian in a Riemannian manifold
- Geometry and topology of some overdetermined elliptic problems
- Schiffer's problem and an isoperimetric inequality for the first buckling eigenvalue of domains on \(\mathbb S^2\)
- A symmetry problem in potential theory
- Remark on the preceding paper of Serrin
- Familles de surfaces isoparametriques dans les espaces à courbure constante
- On the Dirichlet problem for 𝑝-harmonic maps II: Targets with special structure
- Harmonic Analysis and the Pompeiu Problem
- Symmetry and Overdetermined Boundary Value Problems
- Some results in E. Cartan's theory of isoparametric families of hypersurfaces
- On partially and globally overdetermined problems of elliptic type
- Splitting Theorems, Symmetry Results and Overdetermined Problems for Riemannian Manifolds
- Hadamard's Formula and Variation of Domain-Functions
- Schiffer problem and isoparametric hypersurfaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Geometric rigidity of constant heat flow
