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  5. Variational Analysis for the Toda System on Compact Surfaces

Variational Analysis for the Toda System on Compact Surfaces

来源 :International Conference on Variational Methods(ICAM-3)(2012 | 被引量 : 0次 | 上传用户：AFI123456
【摘 要】
：
　　We consider the following Toda system of equations on a compact surface: {-△u1 = 2ρ1( h1eu1/∫Σ h1eu1dVg- 1)-ρ2(h2eu2/∫Σh2eu2dVg-1),-△u2 = 2ρ2( h2eu
【作 者】
：
Andrea Malchiodi 
【机 构】
：
SISSA,Italy
【出 处】
：
International Conference on Variational Methods(ICAM-3)(2012
【发表日期】
：
2012年5期
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论文部分内容阅读
　　We consider the following Toda system of equations on a compact surface: {-△u1 = 2ρ1( h1eu1/∫Σ h1eu1dVg- 1)-ρ2(h2eu2/∫Σh2eu2dVg-1),-△u2 = 2ρ2( h2eu2/∫Σh2eu2dVg- 1) -ρ1( h1eu1/∫Σh1eu1dVg- 1).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.This is a joint work with D.Ruiz.
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