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A variational Analysis of the Toda System on Compact Surfaces

TitleA variational Analysis of the Toda System on Compact Surfaces
Publication TypeJournal Article
Year of Publication2013
AuthorsMalchiodi, A, Ruiz, D
JournalCommunications on Pure and Applied Mathematics, Volume 66, Issue 3, March 2013, Pages 332-371
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.

URLhttp://hdl.handle.net/1963/6558
DOI10.1002/cpa.21433

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