On the existence of positive solutions for semilinear elliptic equations in the annulus

On the existence of positive solutions for semilinear elliptic equations in the annulus
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DOI:
10.1006/jdeq.1994.1042
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发表时间:
1994-04
影响因子:
2.4
通讯作者:
Haiyan Wang
Haiyan Wang
中科院分区:
数学2区
文献类型:
--
作者:
Haiyan Wang

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Abstract We study the existence of positive radial solutions of Δu+g(|x|) ƒ(u) = 0 in annuli with Dirichlet (Dirichlet/Neumann) boundary conditions. We prove that the problems have positive radial solutions on any annulus if ƒ is sublinear at 0 and ∞.