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

IF 1.7 4区数学 Q1 Mathematics

Boundary Value Problems Pub Date : 2024-01-25 DOI:10.1186/s13661-024-01828-4

Sami Baraket, Anis Ben Ghorbal, Rima Chetouane, Azedine Grine

引用次数: 0

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

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柳维尔型四维半线性椭圆系统在某些一般情况下的膨胀解

本文主要研究在纳维边界条件下，$\mathbb{R}^{4}$ 的有界开域中Liouville 型非线性椭圆系统奇异极限解的存在性。相关结果是利用非线性域分解方法和 Pohozaev 型特性得到的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Boundary Value Problems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

4 months

期刊介绍： The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.