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

被引：0
作者：
Sami Baraket
Anis Ben Ghorbal
Rima Chetouane
Azedine Grine
机构：
[1] Imam Mohammad Ibn Saud Islamic University (IMSIU),Department of Mathematics and Statistics, College of Science
[2] Constantine 1 Frères Mentouri University,Department of Mathematics, Faculty of Exact Sciences
来源：
Boundary Value Problems | / 2024卷
关键词：
Liouville type system; Singular limit solution; Nonlinear domain decomposition method; Green’s function; Pohozaev identity; 35J60; 53C21; 58J05;
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摘要：
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.
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