On the Leray-Schauder degree of the Toda system on compact surfaces
Analysis of PDEs
2013-12-02 v1
Abstract
In this paper we consider the so-called Toda system of equations on a compact surface. In particular, we discuss the parity of the Leray-Schauder degree of that problem. Our main tool is a theorem of Krasnoselskii and Zabreiko on the degree of maps symmetric with respect to a subspace. This result yields new existence results as well as a new proof of previous results in literature.
Keywords
Cite
@article{arxiv.1311.7375,
title = {On the Leray-Schauder degree of the Toda system on compact surfaces},
author = {Andrea Malchiodi and David Ruiz},
journal= {arXiv preprint arXiv:1311.7375},
year = {2013}
}
Comments
5 pages