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Please use this identifier to cite or link to this item: http://hdl.handle.net/2307/600

Title: Asymptotic analysis for a singularly perturbed Dirichlet problem
Authors: Petralla, Maristella
Tutor: Esposito, Pierpaolo
Issue Date: 10-May-2010
Publisher: Università degli studi Roma Tre
Abstract: Let us consider the problem −∆u + λV (x)u = up in Ω, u = 0 on ∂ Ω, where Ω is a smooth bounded domain, p > 1, V is a positive potential and λ > 0. We are interested in the regime λ → +∞, which is equivalent to a singularly perturbed Dirichlet problem. It is known that solutions u must blow up as λ → +∞, and we address here the asymptotic description of such a blow up behavior. When the ”energy” is uniformly bounded, the behavior is well understood and the solutions can develop just a finite n
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URI: http://hdl.handle.net/2307/600
Appears in Collections:Dipartimento di Matematica
T - Tesi di dottorato

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