Some existence results for the Toda system on closed surfaces
Andrea Malchiodi
Scuola Normale Superiore, Pisa, ItalyCheikh Birahim Ndiaye
Universität Tübingen, Germany
Abstract
Given a compact closed surface , we consider the generalized Toda system of equations on : for , where are real parameters and are smooth positive functions. Exploiting the variational structure of the problem and using a new minimax scheme we prove existence of solutions for generic values of and for .
Cite this article
Andrea Malchiodi, Cheikh Birahim Ndiaye, Some existence results for the Toda system on closed surfaces. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 18 (2007), no. 4, pp. 391–412
DOI 10.4171/RLM/504