A boundedness result for a Liouville type equation with interior singularity

Samy Skander Bahoura (1)

1 IHP - Institut Henri Poincaré

We consider a variational problem in dimension 2 with Dirichlet condition and exponential nonlinearity and having interior singularity. We derive a local boundedness result for solutions of this Liouville type equation .

Mots clés: blow-up; interior singularity; nonremovable singularity; Maximum principle; a priori estimate

Domaines: Equations aux dérivées partielles [math.AP]

Samy Skander Bahoura. A boundedness result for a Liouville type equation with interior singularity. 2019. ⟨hal-02100099⟩