Geodesic
Concentration of solutions for a singularly perturbed Neumann problem in non-smooth domains
Annales de l'I.H.P. Analyse non linéaire, Tome 28 (2011) no. 1, pp. 107-126
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We consider the equation -ϵ 2 Δu+u=u p in a bounded domain Ω⊂ℝ 3 with edges. We impose Neumann boundary conditions, assuming 1<p<5, and prove concentration of solutions at suitable points of ∂Ω on the edges.

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     author = {Dipierro, Serena},
     title = {Concentration of solutions for a singularly perturbed {Neumann} problem in non-smooth domains},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {107--126},
     year = {2011},
     publisher = {Elsevier},
     volume = {28},
     number = {1},
     doi = {10.1016/j.anihpc.2010.11.003},
     mrnumber = {2765513},
     zbl = {1209.35040},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2010.11.003/}
}
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Dipierro, Serena. Concentration of solutions for a singularly perturbed Neumann problem in non-smooth domains. Annales de l'I.H.P. Analyse non linéaire, Tome 28 (2011) no. 1, pp. 107-126. doi: 10.1016/j.anihpc.2010.11.003

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