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.

A Variational Analysis of the Toda System on Compact Surfaces

MALCHIODI, ANDREA;
2013

Abstract

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.
Settore MAT/05 - Analisi Matematica
Geometric PDEs, Variational Methods, Min-max Schemes
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11384/56078
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