带Hardy-Sobolev项的p-Laplace方程解的存在性

The Existence of Solutions for a Class of p-Laplacian with Hardy-Sobolev Operator

本文利用对称性临界点原理,在无界的柱形区域上,得到一类带Hardy-Sobolev项的p-Laplace方程的非平凡解的存在性。所得结果推广补充了已有的结论。

In this paper,with the principle of symmetric criticality,the existence of nontrivial solutions is proved for a class of p-Laplace equations with Hardy-Sobolev operator on unbounded cylinders.