Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842578 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 8 Pages |
Abstract
In this paper, for each λ>0λ>0, we discuss the existence and some properties of the second eigenvalue α2(λ)α2(λ) for the following eigenvalue problem −Δu+λg(x)u=αu,u∈H1(RN),N≥3, where λ,α∈Rλ,α∈R and g(x)≡0on Ω¯,g(x)∈(0,1]on RN∖Ω¯andlim|x|→∞g(x)=1 for some bounded open set Ω⊂RNΩ⊂RN.
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Authors
Xiangqing Liu, Yisheng Huang,