Serrin-Type Overdetermined Problem in $\mathbb H^n$
From MaRDI portal
Publication:5880864
DOI10.4208/jpde.v36.n1.7OpenAlexW4312186083WikidataQ117217785 ScholiaQ117217785MaRDI QIDQ5880864
Zhenghuan Gao, Jin Yan, Xiaohan Jia
Publication date: 6 March 2023
Published in: Journal of Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.04323
Maximum principles in context of PDEs (35B50) Rigidity results (53C24) Symmetries, invariants, etc. in context of PDEs (35B06) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- The convexity and the Gaussian curvature estimates for the level sets of harmonic functions on convex rings in space forms
- Mirror symmetry for a Hessian over-determined problem and its generalization
- Remarks on critical exponents for Hessian operators
- Some integral formulas for closed hypersurfaces in Riemannian space
- Serrin-type overdetermined problems: An alternative proof
- Geometric applications of the solvability of Neumann problems on a Riemannian manifold
- Some applications of the maximum principle to a variety of fully nonlinear elliptic PDE's
- Lower bounds on Ricci curvature and the almost rigidity of warped products
- Serrin's result for hyperbolic space and sphere
- Symmetrization with respect to mixed volumes
- Overdetermined problems for Weingarten hypersurfaces
- On Serrin's overdetermined problem in space forms
- Remarks on an overdetermined boundary value problem
- Schiffer's problem and an isoperimetric inequality for the first buckling eigenvalue of domains on \(\mathbb S^2\)
- Overdetermined problems with possibly degenerate ellipticity, a geometric approach
- A symmetry problem in potential theory
- Remark on the preceding paper of Serrin
- On the Hessian of a function and the curvature of its graph
- Overdetermined Boundary Value Problems in S<sup>n</sup>
- Symmetry and Overdetermined Boundary Value Problems
- A necessary condition of solvability for the capillarity boundary of Monge-Ampere equations in two dimensions
- ON THE GLOBAL STRUCTURE OF CONFORMAL GRADIENT SOLITONS WITH NONNEGATIVE RICCI TENSOR
- A Symmetry Result Related to Some Overdetermined Boundary Value Problems
- Convex Bodies The Brunn-MinkowskiTheory
- Some integral formulas for closed hypersurfaces