A variational Analysis of the Toda System on Compact Surfaces

Details A variational Analysis of the Toda System on Compact Surfaces A variational Analysis of the Toda System on Compact Surfaces

2011-05-18

arxiv.org/abs/1105.3701v2

Mathematics

Analysis of PDEs

pre-peer version, to appear in Comm. Pure Applied Math

Scientific paper

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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