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