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

被引：0

作者：

Baraket, Sami ^{[1
]}

Ghorbal, Anis Ben ^{[1
]}

Chetouane, Rima ^{[2
]}

Grine, Azedine ^{[1
]}

机构：

[1] Imam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, Riyadh, Saudi Arabia

[2] Constantine 1 Freres Mentouri Univ, Fac Exact Sci, Dept Math, Constantine, Algeria

来源：

BOUNDARY VALUE PROBLEMS | 2024年 / 2024卷 / 01期

关键词：

Liouville type system; Singular limit solution; Nonlinear domain decomposition method; Green's function; Pohozaev identity; INVARIANT 4TH-ORDER EQUATION; SINGULAR LIMIT SOLUTIONS; EXPONENTIAL NONLINEARITY; CLASSIFICATION; CONSTRUCTION;

D O I：

10.1186/s13661-024-01828-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：78

共 29 条

[1] A semilinear fourth order elliptic problem with exponential nonlinearity [J].

Arioli, G ;

Gazzola, F ;

Grunau, HC ;

Mitidieri, E .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2005, 36 (04) :1226-1258

[2] Singular limit solutions for two-dimensional elliptic problems with exponentially dominated nonlinearity [J].

Baraket, S ;

Ye, D .

CHINESE ANNALS OF MATHEMATICS SERIES B, 2001, 22 (03) :287-296

[3]

Baraket S, 1998, CALC VAR PARTIAL DIF, V6, P1

[4]

Baraket S., 2015, ELECT J DIFFER EQ, V2015

[5]

Baraket S., 2020, GRAD J MATH, V5, P1

[6] Construction of singular limits for four-dimensional elliptic problems with exponentially dominated nonlinearity [J].

Baraket, Sami ;

Bazarbacha, Imen ;

Trabelsi, Nihed .

BULLETIN DES SCIENCES MATHEMATIQUES, 2007, 131 (07) :670-685

[7] Singular limits for a 4-dimensional semilinear elliptic problem with exponential nonlinearity [J].

Baraket, Sami ;

Dammak, Makkia ;

Ouni, Taieb ;

Pacard, Frank .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2007, 24 (06) :875-895

[8] Singular Limit Solutions for a 4-dimensional Semilinear Elliptic System of Liouville Type [J].

Baraket, Sami ;

Bazarbacha, Imen ;

Chetouane, Rima ;

Messaoudi, Abdellatif .

TAIWANESE JOURNAL OF MATHEMATICS, 2020, 24 (04) :855-909

[9] SINGULAR LIMIT SOLUTIONS FOR A 2-DIMENSIONAL SEMILINEAR ELLIPTIC SYSTEM OF LIOUVILLE TYPE IN SOME GENERAL CASE [J].

Baraket, Sami ;

Saanouni, Soumaya ;

Trabelsi, Nihed .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 40 (02) :1013-1063

[10] Construction of singular limits for a strongly perturbed four-dimensional Navier problem with exponentially dominated nonlinearity and nonlinear terms [J].

Baraket, Sami ;

Chebbi, Souhail ;

Chorfi, Nejmeddine .

BOUNDARY VALUE PROBLEMS, 2019, 2019 (01)

← 1 2 3 →