一类奇异次线性椭圆方程基态解的存在性  

Existence of Ground State Solutions for a Class of Singular Sublinear Elliptic Equation

作　　者：廖家锋[1,2] 张鹏[1] 

机构地区：[1]遵义师范学院数学与计算科学学院,贵州遵义563002 [2]西南大学数学与统计学院,重庆北碚400715

出　　处：《四川师范大学学报（自然科学版）》2015年第6期867-870,共4页Journal of Sichuan Normal University（Natural Science）

基　　金：贵州省教育厅自然科学基金(黔教科2010086);贵州省科学技术科学基金(LKZS[2014]22;LKZS[2014]30和LH[2015]7001)

摘　　要：奇异椭圆问题起源于非牛顿流体力学、粘性流体的边层现象以及电材料的热传导理论.利用变分方法,研究一类次线性奇异椭圆问题.在一些较弱的条件下,获得该问题正基态解的存在性,从而补充了奇异椭圆问题正解的存在性结果.Singular elliptic problems are originated from the study of non-Newtonian mechanics, the theories of boundary layer phe- nomena For viscous fluids, and heat conduction in electrically materials. In the present paper, a class of singular sublinear elliptic problem is considered, and a ground state solution is obtained for this problem by the varaitional method. This result supplements the theory of the existence of positive solutions for the singular elliptic problems.

关 键 词：奇异次线性椭圆方程 基态解 变分法 

分 类 号：O175.25[理学—数学]