Stability of radial symmetry for a Monge-Ampère overdetermined problem
From MaRDI portal
Publication:731402
DOI10.1007/s10231-008-0083-4zbMath1176.35089OpenAlexW2038482043MaRDI QIDQ731402
Carlo Nitsch, Barbara Brandolini, Cristina Trombetti, Paolo Salani
Publication date: 2 October 2009
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-008-0083-4
Smoothness and regularity of solutions to PDEs (35B65) Convex functions and convex programs in convex geometry (52A41) Geometric theory, characteristics, transformations in context of PDEs (35A30) Monge-Ampère equations (35J96)
Related Items (10)
Solutions of elliptic equations with a level surface parallel to the boundary: stability of the radial configuration ⋮ Stability of Serrin's Problem and Dynamic Stability of a Model for Contact Angle Motion ⋮ Some stability estimates for the symmetrized first eigenfunction of certain elliptic operators ⋮ Stability in an overdetermined problem for the Green's function ⋮ Wulff shape symmetry of solutions to overdetermined problems for Finsler Monge-Ampère equations ⋮ Characterization of ellipsoids through an overdetermined boundary value problem of Monge-Ampère type ⋮ Mirror symmetry for a Hessian over-determined problem and its generalization ⋮ Over-determined problems for \(k\)-Hessian equations in ring-shaped domains ⋮ On the stability of \(k\)-Hessian overdetermined and partially overdetermined problems in planar domain ⋮ Hölder stability for Serrin's overdetermined problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A sharp isoperimetric inequality in the plane
- On the stability of the Serrin problem
- Serrin-type overdetermined problems: An alternative proof
- The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
- Symmetry and related properties via the maximum principle
- Approximate radial symmetry for solutions of a class of boundary value problems in ring-shaped domains
- Approximate radial symmetry for overdetermined boundary value problems
- The sharp quantitative isoperimetric inequality
- A symmetry problem in potential theory
- Stability Estimates for some Geometric Inequalities
- The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
- An approximate Gidas–Ni–Nirenberg theorem
- Stability in the Isoperimetric Problem for Convex or Nearly Spherical Domains in R n
- On the method of moving planes and the sliding method
This page was built for publication: Stability of radial symmetry for a Monge-Ampère overdetermined problem
