Uniform result for solutions of an equation with boundary singularity

Abstract

We consider a variational problem with boundary singularity and Dirichlet condition. We give a blow-up analysis for sequences of solutions of an equation with exponential nonlinearity. Also, we derive a compactness criterion under some conditions.

arXiv commentarXiv admin note: substantial text overlap with arXiv:1508.06812, arXiv:1801.09570, arXiv:0705.4004