摘要
This paper concerns the existence and multiplicity of solutions for some semilinear elliptic equations with critical Sobolev exponent, Hardy term and the sublinear nonlinearity at origin. By using Ekeland,s variational principle, we conclude the existence of nontrivial solution for this problem, the Clark＇s critical point theorem is used to prove the existence of infinitely many solutions for this problem with odd nonlinearity.
基金
Supported by National Natural Science Foundation of China（No. 10471113） and Research Award Program for 0utstanding Young Teachers in Higher Education Institutions of M0E, P.R.C. and by Doctor Foundation of Southwest Normal University（No. SWNUB2005021）.
