一类奇异临界椭圆方程非平凡解的存在性

Existence of Nontrivial Solutions for Singular Critical Elliptic Equations

研究了一类带Sobolev-Hardy临界指数的奇异椭圆方程,应用变分方法,通过能量估计和证明对应的能量泛函满足(PS)_c条件,运用山路引理得到了这类方程非平凡解的存在性.

A class singular elliptic equations with Sobolev-Hardy critical exponents are studied.With the variational methods,using the mountain pass lemma,the existence of nontrivial solutions are obtained by estimating energy carefully and proving the energy functional corresponding to the equations satisfies the（PS）_c condition.