Rotational symmetry of solutions of some nonlinear problems in statistical mechanics and in geometry
type: Item
instance of: scholarly article
title: Rotational symmetry of solutions of some nonlinear problems in statistical mechanics and in geometry
zbMATH Open document ID: 0821.35044
DOI: 10.1007/BF02103274
author: Sagun Chanillo
author: Michael K.-H. Kiessling
published in: Communications in Mathematical Physics
publication date: 1995-10-03T00:00:00Z
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 529869
zbMATH Keywords: symmetry breaking
zbMATH Keywords: method of moving planes
zbMATH Keywords: symmetric decreasing rearrangements
MaRDI profile type: Publication
cites work: On the lowest energy state of a collisionless self-gravitating system under phase space volume constraints
cites work: Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)euin two dimensions
cites work: On the method of moving planes and the sliding method
cites work: Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
cites work: A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
cites work: Extremals of functionals with competing symmetries
cites work: Competing symmetries, the logarithmic HLS inequality and Onofri's inequality on \(S^ n\)
cites work: Continuity of solutions of uniformly elliptic equations in \(\mathbb{R}^ 2\)
cites work: Classification of solutions of some nonlinear elliptic equations
cites work: Prescribing Gaussian curvature on S 2
cites work: Negative-temperature states and large-scale, long-lived vortices in two-dimensional turbulence
cites work: Refined derivation, exact solutions, and singular limits of the Poisson- Boltzmann equation
cites work: Symmetry and related properties via the maximum principle
cites work: Q5187597
cites work: Curvature functions for compact 2-manifolds
cites work: Statistical mechanics of classical particles with logarithmic interactions
cites work: Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domains
cites work: On the existence and symmetry properties of finite total mass solutions of the Matukuma equation, the Eddington equation and their generalizations
cites work: On the asymptotic behavior and radial symmetry of positive solutions of semilinear elliptic equations in \({\mathbb{R}{}}^ n\). I: Asymptotic behavior
cites work: On the asymptotic behavior and radial symmetry of positive solutions of semilinear elliptic equations in \({\mathbb{R}{}}^ n\). II: Radial symmetry
cites work: Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
cites work: Relaxation in two dimensions and the ‘‘sinh-Poisson’’ equation
cites work: The conjectures on conformal transformations of Riemannian manifolds
cites work: On the positivity of the effective action in a theory of random surfaces
cites work: Extremals of determinants of Laplacians
cites work: Wave and vortex dynamics on the surface of a sphere
cites work: Conformal deformation of a Riemannian metric to constant scalar curvature
cites work: On finite amplitude oscillations in laminar mixing layers
full work available at URL: https://doi.org/10.1007/bf02103274
OpenAlex ID: W1987348332
description: scientific article; zbMATH DE number 529869