一类含Hardy位势的变分问题极小解的存在性

Existence of minimum solution on a class of variation problems with Hardy potential

首先建立含Hardy位势和临界参数的非线性椭圆方程在一个新Hilbert空间,然后利用叶果洛夫定理我们得到了一类含Hardy位势的变分问题极小解的存在性。

We first build nonlinear of elliptic with Hardy potential and critical parmeter in a new Hilbert space.Then we get existence of minimum solution on a class of variation problems with Hardy potential by Egrof theorem.