Some existence results for the Toda system on closed surfaces

  • Andrea Malchiodi

    Scuola Normale Superiore, Pisa, Italy
  • Cheikh 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