Concentration at curves for a singularly perturbed Neumann problem in three-dimensional domains
Concentration at curves for a singularly perturbed Neumann problem in three-dimensional domains
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DOI：
10.1007/s00039-005-0542-7
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发表时间：
2005-12
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影响因子：
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通讯作者：
A. Malchiodi
中科院分区：
文献类型：
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作者：
A. Malchiodi
在光滑有界域上证明了方程−ɛ2Δu+u=up在Neumann边界条件下的新的浓度现象.Herep&>ɛ；1和Herep&>；0都很小。我们发现，当∂Ω为0时，在ɛ→的某些测地线上出现了溶液的集中。
We prove new concentration phenomena for the equation −ɛ2Δu+u=upin a smooth bounded domainand with Neumann boundary conditions. Herep> 1 and ɛ > 0 is small. We show that concentration of solutions occurs at some geodesics of ∂Ω when ɛ → 0.