A Variational Analysis of the Toda System on Compact Surfaces

In this paper we consider a 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.In this paper we consider the following Toda system of equations on a compact surface: We will give existence results by using variational methods in a noncoercive 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 and u2. © 2011 Wiley Periodicals, Inc