A variational Analysis of the Toda System on Compact Surfaces
Analysis of PDEs
2011-11-24 v2
Abstract
In this paper we consider the Toda system of equations on a compact surface. We will give existence results by using variational methods in a non coercive case. A key tool in our analysis is a new Moser-Trudinger type inequality under suitable conditions on the center of mass and the scale of concentration of the two components u_1, u_2.
Keywords
Cite
@article{arxiv.1105.3701,
title = {A variational Analysis of the Toda System on Compact Surfaces},
author = {Andrea Malchiodi and David Ruiz},
journal= {arXiv preprint arXiv:1105.3701},
year = {2011}
}
Comments
pre-peer version, to appear in Comm. Pure Applied Math