运用精确估计和变分法得到具奇异位势的椭圆方程-△u-μu/│x│^2=│u│^2*(s)-^2u/│x│^s+λu,u∈H0^1,2(Ω)的非平凡解的存在性,其中Ω是有光滑边界的有界开区域,μ,λ是两个正参数.
With the aids of variational methods and delicate estimates, the existenceof nontrivial solutions is obtained for elliptic equations with singular potential -△u-μu/│x│^2=│u│^2*(s)-^2u/│x│^s+λu,u∈H0^1,2(Ω) where Ω is an open bounded domain with smooth boundary, μ,λ are two positive parameters.