MULTIPLICITY OF SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS WITH SINGULARITY

摘要：

In this paper, we study the following quasilinear problem: -△p(u)-μ|u|p-2u/|x|p=αup*(t)-2/|x|tu+λ|u|p-2 u+|u|q-2u,x∈W1,pO(Ω) with Dirichlet boundary condition, where N ≥ 3, 1<p<N,0≤μ<(μ)(N-p/p)p,0≤t＜p,⒈＜q＜p,and p*(t)p(N-t)/(N-p) is the critical Sobolev-Hardy exponent. Via the variational method, we get the the multiplicity of solutions for the quasilinear problem.

关键词： Quasilinear elliptic equations singularity critical growth.

作者: JUAN LI

作者单位: Department of Mathematics, Ningbo University, Ningbo 315211, China

会议类型: 国际会议

会议名称: 第三届边值问题积分方程以及相关问题国际会议

会议地点: 保定

会议语种:英文

页码: 215-224

在线出版日期: 2010-08-22（万方平台首次上网日期，不代表论文的发表时间）