Emden-Fowler方程奇异Dirichlet边值问题的正基态解

Positive Ground-State Solution to Singular Emden-Fowler Equation with Dirichlet Boundary Value Condition

本文研究下述Emden-Fowler方程奇异Dirichlet边值问题{-u+u=q(x)|u|^p-2ux∈(0,1)u(0)=u(1)=0其中q(x)可以在无穷多个点处存在奇异性.本文利用Nehari方法得到上述问题存在一个正的基态解,所得结论是对已有相关结果的推广.

In this paper,we consider singular Emden-Fowler equation with Dirichlet boundary value condition.By using Nehari method,we obtain the existence of positive ground-state solution and our work improves and extends some existing works.