Uniqueness of positive solutions of a quasilinear Dirichlet problem with exponential nonlinearity

被引：3

作者：

Adimurthi ^{[1
]}

机构：

[1] TIFR Ctr, Bangalore 560012, Karnataka, India

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1998年 / 128卷

关键词：

D O I：

10.1017/S030821050002998X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Uniqueness of positive solutions of the following equation: -div (\del u\(n-2)del u)=lambda u(n-1)e(u) in B, u > 0 in B, u = 0 on partial derivative B has been obtained, where B subset of R-n is the ball of unit radius and lambda > 0. Moreover, if n = 2, then the solutions are nondegenerate.

引用

页码：895 / 906

页数：12

共 8 条

[1] AN ELEMENTARY PROOF OF THE UNIQUENESS OF POSITIVE RADIAL SOLUTIONS OF A QUASI-LINEAR DIRICHLET PROBLEM [J].