Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843713 | Nonlinear Analysis: Theory, Methods & Applications | 2008 | 14 Pages |
Abstract
Let ΩΩ be a bounded domain in RN(N≥5) with smooth boundary ∂Ω∂Ω and the origin 0∈Ω,μ<μ̄=((N−2)/2)2,2∗=2N/(N−2),K(x) is a bounded positive function on Ω̄. We prove the existence results for nontrivial solutions to the Dirichlet problem −△u=μu|x|2+K(x)|u|2∗−2+λu in Ω,u=0Ω,u=0 on ∂Ω∂Ω, for suitable numbers μμ and λλ.
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Authors
Xiaoming He, Wenming Zou,