On The Existence Of Solutions For A Class Of Semilinear Elliptic Equations With Coercive Term

In this paper we deal with the existence of multiple solutions of the following clliptic cquation where N≥3,V(x)≥0and V∈(?). When P>2,utilizing direct varictional method,the existence of a global minimum solution has been proved. And when2<p<2,by virtue of Z2-index theory,a sequence of eritical points ecorrosponding to negative critical values.which goes to zero.has been obtained under some suitable assumption about V.