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

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Abstract

We consider the equation -ε 2Δu+u=up 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 δΩ on the edges. © 2010 Elsevier Masson SAS. All rights reserved.

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Dipierro, S. (2011). Concentration of solutions for a singularly perturbed Neumann problem in non-smooth domains. Annales de l’Institut Henri Poincare (C) Analyse Non Lineaire, 28(1), 107–126. https://doi.org/10.1016/j.anihpc.2010.11.003

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