Serrin’s type problems in warped product manifolds
DOI10.1142/S0219199721500206zbMath1487.35384arXiv1912.09824OpenAlexW3126406017MaRDI QIDQ5073731
Alberto Farina, Alberto Roncoroni
Publication date: 3 May 2022
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.09824
Boundary value problems for second-order elliptic equations (35J25) Maximum principles in context of PDEs (35B50) Elliptic equations on manifolds, general theory (58J05) Rigidity results (53C24) Boundary value problems on manifolds (58J32) PDEs on manifolds (35R01) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)
Related Items (2)
Cites Work
- Unnamed Item
- Constant mean curvature surfaces in warped product manifolds
- On a differential equation characterizing a Riemannian structure of a manifold
- Symmetry and related properties via the maximum principle
- Maximum principles and their applications
- Some remarks on maximum principles
- A Serrin-type symmetry result on model manifolds: an extension of the Weinberger argument
- Serrin's overdetermined problem on the sphere
- A pointwise gradient estimate in possibly unbounded domains with nonnegative mean curvature
- Serrin's result for hyperbolic space and sphere
- Serrin's type overdetermined problems in convex cones
- Length structures on manifolds with continuous Riemannian metrics
- On Serrin's overdetermined problem in space forms
- Remarks on an overdetermined boundary value problem
- Overdetermined problems with possibly degenerate ellipticity, a geometric approach
- A symmetry problem in potential theory
- Remark on the preceding paper of Serrin
- Certain conditions for a Riemannian manifold to be isometric with a sphere
- Maximum Principles and Geometric Applications
- Symmetry and Overdetermined Boundary Value Problems
- A gradient bound for entire solutions of quasi‐linear equations and its consequences
- Geodesics in nonexpanding impulsive gravitational waves with Λ. II
- A Symmetry Result Related to Some Overdetermined Boundary Value Problems
- Differential Geometry of Warped Product Manifolds and Submanifolds
- Complete Riemannian Manifolds and Some Vector Fields
- Manifolds of Negative Curvature
- Schiffer problem and isoparametric hypersurfaces
This page was built for publication: Serrin’s type problems in warped product manifolds