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

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 R4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathbb{R}^{4}$\end{document}. The concerned results are obtained employing the nonlinear domain decomposition method and a Pohozaev-type identity.