【摘 要】
：
This paper deals with the existence of solutions to the elliptic equation -△uμu/|x|2=λu + |u|2*-2u + f(x, u) in Ω, u = 0 on ( a)Ω, where Ω is a bounded do
【机 构】
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Institute of Applied Mathematics
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This paper deals with the existence of solutions to the elliptic equation -△uμu/|x|2=λu + |u|2*-2u + f(x, u) in Ω, u = 0 on ( a)Ω, where Ω is a bounded domain in RN(N≥3),0∈Ω,2*=2N/N-2,λ＞0,λ(a)σμ, σμ is the spectrum of the operator -△- μI/|x|2with zero Dirichlet boundary condition, 0 ＜μ＜-μ,-μ=(N-2)2/4,f(x,u) is an asymmetric lower order perturbation of |u|2*-1 at infinity. Using the dual variational methods, the existence of nontrivial solutions is proved.
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