Singular limiting solutions for elliptic problem involving exponentially dominated nonlinearity and convection term

被引：2

作者：

Baraket, Sami ^{[1
]}

Abid, Imed ^{[2
]}

Ouni, Taieb ^{[2
]}

Trabelsi, Nihed ^{[2
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia

[2] Fac Sci Tunis, Dept Math, Tunis 2092, Tunisia

来源：

BOUNDARY VALUE PROBLEMS | 2011年

关键词：

singular limits; Green's function; nonlinear Cauchy-data matching method; BUBBLING SOLUTIONS; EQUATION;

D O I：

10.1186/1687-2770-2011-10

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given O bounded open regular set of R-2 and x(1), x(2), ... , x(m) is an element of Omega, we give a sufficient condition for the problem -div (e(lambda u)del u) = rho(2)f (u) to have a positive weak solution in Omega with u = 0 on partial derivative Omega, which is singular at each xi as the parameters rho, lambda > 0 tend to 0 and where f( u) is dominated exponential nonlinearities functions.

引用

页数：17

共 21 条

[1]

[Anonymous], 1990, ASYMPTOTIC ANAL

[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, 2011, COMMUNICATIONS CONT, V13, P129

[5] 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

[6] Singular limits for 2-dimensional elliptic problem involving exponential nonlinearity with nonlinear gradient term [J].

Baraket, Sami ;

Ben Omrane, Ines ;

Ouni, Taieb .

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2011, 18 (01) :59-78

[7] Singular limits for the bi-Laplacian operator with exponential nonlinearity in R4 [J].

Clapp, Monica ;

Munoz, Claudio ;

Musso, Monica .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2008, 25 (05) :1015-1041

[8]

Dammak M, 2008, DIFFER INTEGRAL EQU, V21, P1019

[9] Singular limits in Liouville-type equations [J].

del Pino, M ;

Kowalczyk, M ;

Musso, M .

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2005, 24 (01) :47-81

[10] On the existence of blowing-up solutions for a mean field equation [J].

Esposito, P ;

Grossi, M ;

Pistoia, A .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2005, 22 (02) :227-257

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