A compactness result for solutions to an equation with boundary singularity

Abstract

We give a blow-up behavior for solutions to a problem with singularity and with Dirichlet condition. An application, we have a compactness of the solutions to this Problem with singularity and Lipschitz conditions.

arXiv commentarXiv admin note: substantial text overlap with arXiv:1802.05135, arXiv:1508.06812, arXiv:0705.4004, arXiv:1801.09570