On the stability of \(k\)-Hessian overdetermined and partially overdetermined problems in planar domain
type: Item
instance of: scholarly article
title: On the stability of \(k\)-Hessian overdetermined and partially overdetermined problems in planar domain
zbMATH Open document ID: 1436.35129
author: Fengquan Li
author: Lingling Zhao
published in: Analysis (München)
publication date: 2020-04-23T00:00:00Z
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35B35
zbMATH DE Number: 7192445
zbMATH Keywords: overdetermined problem
zbMATH Keywords: stability
zbMATH Keywords: \(k\)-Hessian operator
MaRDI profile type: Publication
full work available at URL: anly-2019-0031
OpenAlex ID: W3008654523
cites work: Approximate radial symmetry for overdetermined boundary value problems
cites work: A symmetry theorem for condensers
cites work: A characteristic property of spheres
cites work: On the stability of the Serrin problem
cites work: Serrin-type overdetermined problems: An alternative proof
cites work: Stability of radial symmetry for a Monge-Ampère overdetermined problem
cites work: A symmetry result for an overdetermined elliptic problem using continuous rearrangement and domain derivative
cites work: Solutions of elliptic equations with a level surface parallel to the boundary: stability of the radial configuration
cites work: Maximum and minimum principles for a class of Monge-Ampère equations in the plane, with applications to surfaces of constant Gauss curvature
cites work: Remarks on an overdetermined boundary value problem
cites work: On partially and globally overdetermined problems of elliptic type
cites work: Partially overdetermined elliptic boundary value problems
cites work: Overdetermined problems with possibly degenerate ellipticity, a geometric approach
cites work: Counterexamples to symmetry for partially overdetermined elliptic problems
cites work: Partially overdetermined problem in some integral equations
cites work: A new approach to problems in two dimensional flow
cites work: On the Analyticity of the Solutions of Analytic Non-Linear Elliptic Systems of Partial Differential Equations: Part I. Analyticity in the Interior
cites work: Q5547101
cites work: SOME MAXIMUM PRINCIPLES AND SYMMETRY RESULTS FOR A CLASS OF BOUNDARY VALUE PROBLEMS INVOLVING THE MONGE-AMPÈRE EQUATION
cites work: Some applications of the maximum principle to a variety of fully nonlinear elliptic PDE's
cites work: Q4819637
cites work: Serrin's result for domains with a corner or cusp
cites work: Radial symmetry for elliptic boundary-value problems on exterior domains
cites work: A symmetry problem in potential theory
cites work: Maximum principles and their applications
cites work: Over-determined problems for \(k\)-Hessian equations in ring-shaped domains
cites work: The k-Hessian Equation
cites work: Remark on the preceding paper of Serrin
DOI: 10.1515/ANLY-2019-0031
description: scientific article; zbMATH DE number 7192445