arXiv:1105.3701 Abstract | arXiv Analytics

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A variational Analysis of the Toda System on Compact Surfaces

Published 2011-05-18, updated 2011-11-23Version 2

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.

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

Categories: math.AP

Keywords: toda system, compact surface, variational analysis, moser-trudinger type inequality, non coercive case

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