Concentration of solutions for a singularly perturbed Neumann problem in non-smooth domains

Dipierro, Serena

Annales de l'I.H.P. Analyse non linéaire, Tome 28 (2011), p. 107-126 / Harvested from Numdam

Résumé

We consider the equation $ -{ϵ}^{2}\mathrm{\Delta }u+u={u}^{p}$ in a bounded domain $ \Omega \subset {\mathbb{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.

Détail

Publié le : 2011-01-01

MR 2765513 | Zbl 1209.35040

DOI : https://doi.org/10.1016/j.anihpc.2010.11.003

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