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arXiv · 1105.3701

A variational Analysis of the Toda System on Compact Surfaces

Andrea Malchiodi·David Ruiz
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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.

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Andrea Malchiodi, David Ruiz. 2011-05-18. A variational Analysis of the Toda System on Compact Surfaces. https://arxiv.org/abs/1105.3701

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