Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844460 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 22 Pages |
Abstract
This paper is a contribution on the inhomogeneous problem {Îu+K(x)up+λf(x)=0in Ω,u>0in Ω,uâHloc1(Ω)â©C(Ω¯),u|âΩ=0,uâμ>0as |x|ââ, where Ω=RNâÏ is an exterior domain in RN, ÏâRN is a bounded domain with a smooth boundary and N>2. λ>0, μ>0 and p>1 are given constants. f(x)âLâ(Ω) and K(x) are given locally Hölder continuous functions in ΩÌ, and K(x) satisfies a fast decay condition: âC,ϵ,M>0 such that |K(x)|â¤C|x|l for any |x|â¥M with lâ¤â2âϵ. By applying the monotone iteration method and the Mountain Pass Lemma, some results on the existence and nonexistence of multiple solutions are discussed under different assumptions for K(x) and f(x).
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Authors
Yinbin Deng, Yujin Guo,