Currently displaying 1 – 4 of 4

Showing per page

Order by Relevance | Title | Year of publication

Locating the boundary peaks of least-energy solutions to a singularly perturbed Dirichlet problem

Teresa D’Aprile — 2006

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

We consider the problemwhere Ω ⊂ ℝ 3 is a smooth and bounded domain, ε , γ 1 , γ 2 > 0 , v , V : Ω → ℝ , f : ℝ → ℝ . We prove that this system has a v ε which develops, as ε → 0 + , a single spike layer located near the boundary, in striking contrast with the result in [37] for the single Schrödinger equation. Moreover the unique peak approaches thepart of ∂ Ω ,, where the boundary mean curvature assumes its maximum. Thus this elliptic system, even though it is a Dirichlet problem, acts more like a Neumann problem for the...

Page 1

Download Results (CSV)