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

Abstract

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 R 4 $\mathbb{R}^{4}$ . The concerned results are obtained employing the nonlinear domain decomposition method and a Pohozaev-type identity.

Keywords

• Liouville type system
• Singular limit solution
• Nonlinear domain decomposition method
• Green’s function
• Pohozaev identity