Existence of positive solutions for a semilinear elliptic problem with critical Sobolev and Hardy terms

Existence of positive solutions for a semilinear elliptic problem with critical Sobolev and Hardy terms
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DOI:
10.1090/s0002-9939-06-08405-x
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发表时间:
2006-02
期刊:
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影响因子:
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通讯作者:
N. Hirano;N. Shioji
N. Hirano;N. Shioji
中科院分区:
其他
文献类型:
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作者:
N. Hirano;N. Shioji

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设N > 4,2* = 2N/(N - 2),Ω CRN是一个有界区域,其光滑边界为<$Ω.本文的目的是考虑问题:u > 0在Ω上,u = 0在Ω上,其中0 < μ<(N-2/2)2 .
Let N > 4, let 2* = 2N/(N - 2) and let Ω C R N be a bounded domain with a smooth boundary ∂Ω. Our purpose in this paper is to consider the existence of solutions of the problem: u > 0 in Ω, u = 0 on ∂Ω, where 0 < μ< (N-2/2) 2 .