A variational Analysis of the Toda System on Compact Surfaces

2011/05/18 by Andrea Malchiodi, David Ruiz, Malchiodi, Andrea +1 · 1 citation
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.1105.3701

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 u₁, u₂.

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