Blow-up solutions for a 4-dimensional semilinear elliptic system of Liouville type in some general cases

Abstract

This paper is devoted to the existence of singular limit solutions for a nonlinear elliptic system of Liouville type under Navier boundary conditions in a bounded open domain of $\mathbb{R}^{4}$ R 4 . The concerned results are obtained employing the nonlinear domain decomposition method and a Pohozaev-type identity.