SINGULAR LIMITING RADIAL SOLUTIONS FOR 4-DIMENSIONAL ELLIPTIC PROBLEM INVOLVING EXPONENTIALLY DOMINATED NONLINEARITY

被引：0

作者：

Baraket, Sami ^{[1
]}

Chetouane, Rima ^{[2
]}

Mtiri, Foued ^{[3
]}

Trabelsi, Maryem ^{[4
]}

机构：

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

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

[3] King Khalid Univ, Math Dept, Fac Sci & Arts, Muhayil Asir, Saudi Arabia

[4] Univ Tunis El Manar, Fac Sci Tunis, Dept Math, Campus Univ, Tunis 2092, Tunisia

来源：

MATHEMATICAL REPORTS | 2023年 / 25卷 / 01期

关键词：

singular limits; nonlinear domain decomposition method; Green's function; ASYMPTOTIC-BEHAVIOR; EXISTENCE; EQUATION;

D O I：

10.59277/mrar.2023.25.75.1.23

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of solutions having singular limits for some four-dimensional semilinear elliptic problems involving exponential nonlinearity with nonlinear terms with Navier boundary condition. In particular, we extend the result of [2].

引用

页码：23 / 45

页数：23

共 32 条

[1] SINGULAR LIMITING SOLUTIONS TO 4-DIMENSIONAL ELLIPTIC PROBLEMS INVOLVING EXPONENTIALLY DOMINATED NONLINEARITY AND NONLINEAR TERMS
Baraket, Sami
Bazarbacha, Imen
Trabelsi, Maryem
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
[2] Singular limiting solutions for elliptic problem involving exponentially dominated nonlinearity and convection term
Baraket, Sami
Abid, Imed
Ouni, Taieb
Trabelsi, Nihed
BOUNDARY VALUE PROBLEMS, 2011,
[3] Singular limiting solutions for elliptic problem involving exponentially dominated nonlinearity and convection term
Sami Baraket
Imed Abid
Taieb Ouni
Nihed Trabelsi
Boundary Value Problems, 2011
[4] Blow up solutions for 4-dimensional elliptic problems involving exponentially dominated nonlinearities
Trabelsi M.
ANNALI DELL'UNIVERSITA' DI FERRARA, 2023, 69 (2) : 421 - 441
[5] SINGULAR LIMITS FOR 2-DIMENSIONAL ELLIPTIC PROBLEM WITH EXPONENTIALLY DOMINATED NONLINEARITY AND SINGULAR DATA
Baraket, Sami
Ben Omrane, Ines
Ouni, Taieb
Trabelsi, Nihed
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2011, 13 (04) : 697 - 725
[6] SINGULAR LIMITS FOR 2-DIMENSIONAL ELLIPTIC PROBLEM WITH EXPONENTIALLY DOMINATED NONLINEARITY AND A QUADRATIC CONVECTION TERM
Baraket, Sami
Bazarbacha, Imen
Kharrati, Saber
Ouni, Taieb
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2013, 21 (01): : 19 - 50
[7] Construction of singular limits for a strongly perturbed four-dimensional Navier problem with exponentially dominated nonlinearity and nonlinear terms
Baraket, Sami
Chebbi, Souhail
Chorfi, Nejmeddine
BOUNDARY VALUE PROBLEMS, 2019, 2019 (01)
[8] Singular limits for 2-dimensional elliptic problem involving exponential nonlinearity with nonlinear gradient term
Baraket, Sami
Ben Omrane, Ines
Ouni, Taieb
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2011, 18 (01): : 59 - 78
[9] Structure of positive radial solutions of a quasilinear elliptic problem with singular nonlinearity
Mei, Linfeng
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2018, 63 (11) : 1595 - 1603
[10] Construction of singular limits for a strongly perturbed four-dimensional Navier problem with exponentially dominated nonlinearity and nonlinear terms
Sami Baraket
Souhail Chebbi
Nejmeddine Chorfi
Boundary Value Problems, 2019

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