Some sphere theorems in linear potential theory
DOI10.1090/tran/7637zbMath1416.35170arXiv1705.09940OpenAlexW2964113722MaRDI QIDQ5380483
Giovanni Mascellani, Stefano Borghini, Lorenzo Mazzieri
Publication date: 5 June 2019
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.09940
Boundary value problems for second-order elliptic equations (35J25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Symmetries, invariants, etc. in context of PDEs (35B06) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Constant mean curvature surfaces in warped product manifolds
- Isoperimetric and Weingarten surfaces in the Schwarzschild manifold
- Invariants of the harmonic conformal class of an asymptotically flat manifold
- Riemannian aspects of potential theory
- An overdetermined problem for the anisotropic capacity
- Comparing monotonicity formulas for electrostatic potentials and static metrics
- Nodal sets for solutions of elliptic equations
- A characteristic property of spheres
- Comparison geometry for the Bakry-Emery Ricci tensor
- Compact hypersurfaces with constant higher order mean curvatures
- Radial symmetry for elliptic boundary-value problems on exterior domains
- Critical sets of solutions to elliptic equations.
- Symmetry in exterior boundary value problems for quasilinear elliptic equations via blow-up and a priori estimates
- Elliptic partial differential equations of second order
- A sharp quantitative version of Alexandrov's theorem via the method of moving planes
- Radial symmetry for an electrostatic, a capillarity and some fully nonlinear overdetermined problems on exterior domains
- Monotonicity formulas for static metrics with non-zero cosmological constant
- Monotonicity formulas in potential theory
- On the stability for Alexandrov's soap bubble theorem
- On the geometry of the level sets of bounded static potentials
- Einstein manifolds
- Symmetry for an overdetermined boundary problem in a punctured domain
- Certain conditions for a Riemannian manifold to be isometric with a sphere
- Bach-flat gradient steady Ricci solitons
- A Note on an Overdetermined Problem for the Capacitary Potential
- On the Shape of Compact Hypersurfaces with Almost-Constant Mean Curvature
- Serrin's problem and Alexandrov's Soap Bubble Theorem: enhanced stability via integral identities
- Nodal sets of solutions of elliptic and parabolic equations
- A Remark on a Paper by Payne and Phillippin
- Differential Topology
- On Some Maximum Principles Involving Harmonic Functions and Their Derivatives
- Unicity of constant mean curvature hypersurfaces in some riemannian manifolds
- Wulff shape characterizations in overdetermined anisotropic elliptic problems
- Mass-Capacity Inequalities for Conformally Flat Manifolds with Boundary
- Critical Sets of Elliptic Equations
- Uniqueness theorems for surfaces in the large. I, II, III, IV, V
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)
- Riemannian geometry
- Potential theory
- Symmetry for exterior elliptic problems and two conjectures in potential theory
This page was built for publication: Some sphere theorems in linear potential theory
