Triple Junction Solutions for a Singularly Perturbed Neumann Problem

نویسندگان

  • Weiwei Ao
  • Monica Musso
  • Juncheng Wei
چکیده

We consider the following singularly perturbed Neumann problem ε∆u− u + u = 0 , u > 0 in Ω, ∂u ∂ν = 0 on ∂Ω, where p > 1 and Ω is a smooth and bounded domain in R. We construct a class of solutions which consist of large number of spikes concentrating on three line segments with a common endpoint which intersect ∂Ω orthogonally .

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عنوان ژورنال:
  • SIAM J. Math. Analysis

دوره 43  شماره 

صفحات  -

تاریخ انتشار 2011