Existence of Explosive Solutions for a Class of Nonlinear Elliptic Equations  

作　　者：彭亚红 彭小珍 

机构地区：[1]Department of Applied Mathematics,Donghua University

出　　处：《Journal of Donghua University(English Edition)》2008年第6期676-679,共4页东华大学学报（英文版）

基　　金：National Natural Science Foundation of China (No.10131050)

摘　　要：By the subsuper solutions method, the explosive supersolutions and explosive subsol utions are obtained and the exsistence of explosive solutions is proved on a bounded domain for a class of nonlinear elliptic problems.Then, the exsitence of an entire large solution is proved by the perturbed method.By the subsuper solutions method, the explosive supersolutions and explosive subsol utions are obtained and the exsistence of explosive solutions is proved on a bounded domain for a class of nonlinear elliptic problems.Then, the exsitence of an entire large solution is proved by the perturbed method.

关 键 词：nonlinear elliptic equations explosive supersolutions explosive subsolutions 

分 类 号：O175.25[理学—数学] O174.56[理学—基础数学]