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About Brezis-Merle Problem with Holderian condition

Samy Skander Bahoura

Equipe d’Analyse Complexe et Geometrie, Universite Paris VI, 75005, Paris, Farnce Abstract We consider the following problem on open set Ω of R 2 : ( −∆ui = Vie ui in Ω ⊂ R 2 , ui = 0 in ∂Ω. Under some conditions , we give a quantization analysis and a compactness result for the previous problem.