Uniqueness of solutions of mean field equations in $\R^2$
Analysis of PDEs
2017-05-15 v2
Abstract
In this paper, we prove uniqueness of solutions of mean field equations with general boundary conditions for the critical and subcritical total mass regime, extending the earlier results for null Dirichlet boundary condition. The proof is based on new Bol's inequalities for weak radial solutions obtained from rearrangement of the solutions.
Keywords
Cite
@article{arxiv.1612.08403,
title = {Uniqueness of solutions of mean field equations in $\R^2$},
author = {Changfeng Gui and Amir Moradifam},
journal= {arXiv preprint arXiv:1612.08403},
year = {2017}
}
Comments
to appear in Proceedings of the AMS