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.

We consider the equation $-{ϵ}^{2}\Delta u+u={u}^{p}$ in a bounded domain $\Omega \subset {ℝ}^{3}$ with edges. We impose Neumann boundary conditions, assuming $1, and prove concentration of solutions at suitable points of ∂Ω on the edges.

@article{AIHPC_2011__28_1_107_0,
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},
publisher = {Elsevier},
volume = {28},
number = {1},
year = {2011},
doi = {10.1016/j.anihpc.2010.11.003},
zbl = {1209.35040},
mrnumber = {2765513},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.anihpc.2010.11.003/}
}
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. http://www.numdam.org/articles/10.1016/j.anihpc.2010.11.003/

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