R^N上一类含临界指数椭圆方程的非平凡解

Nontrivial solution for a class of elliptic equations with critical exponent in R^N

研究RN上一类含Sobolev-Hardy临界指数的椭圆方程,通过精确的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 of elliptic equations with Sobolev-Hardy critical exponent are studied. With mountain pass lemma, the existence of nontrivial solution is obtained by estimating energy carefully and proving the energy functional corresponding to the equation satisfies the （PS）c condition.