About Brezis-Merle Problem with Lipschitz condition.

Samy Skander Bahoura (1)

1 IMJ - Institut de Mathématiques de Jussieu

We give blow-up analysis for a Brezis-Merle's problem on the boundary. Also we give a proof of a compactness result with Lipschitz condition and weaker assumption on the regularity of the domain (smooth domain or $ C^{2,\alpha} $ domain).

Mots clés: smooth and regular domain; compactness; Lipschitz condition; scalar curvature; blow-up; boundary; Dirichlet condition; a priori estimate

Domaines: Equations aux dérivées partielles [math.AP]

Samy Skander Bahoura. About Brezis-Merle Problem with Lipschitz condition.. 2020. ⟨hal-00149613v9⟩