A compactness result for an equation with Holderian condition.

Samy Skander Bahoura (1)

1 IHP - Institut Henri Poincaré

We give a blow-up analysis for Brezis-Merle problem with Dirichlet condition. As an application, we have a proof for Brezis-Merle Problem with Hölderian condition.

Mots clés: blow-up; boundary; Dirichlet condition; a priori estimate; Hölder condition

Domaines: Equations aux dérivées partielles [math.AP]

Samy Skander Bahoura. A compactness result for an equation with Holderian condition.. 2015. ⟨hal-01187668v1⟩