Concentration of Solutions for a Singularly Perturbed Neumann Problem in non smooth domains

Details Concentration of Solutions for a Singularly Perturbed Neumann Problem in non smooth domains Concentration of Solutions for a Singularly Perturbed Neumann Problem in non smooth domains

2010-10-02

arxiv.org/abs/1010.0350v2

Mathematics

Analysis of PDEs

24 pages. Second Version, minor changes. To appear in Annales de l'Institut Henri Poincar\'e - Analyse non lin\'eaire

Scientific paper

We consider the equation $-\epsilon^{2}\Delta u + u = u^ {p}$ in a bounded
domain $\Omega\subset\R^{3}$ with edges. We impose Neumann boundary conditions,
assuming $1$\partial\Omega$ on the edges.

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