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Type: Artigo de periódico
Title: Spike solutions of a nonlinear Schrodinger equation with degenerate potential
Author: Lorca, S
Montenegro, M
Abstract: We study the existence of positive solutions to the elliptic equation epsilon(2) Deltau(x, y) - V(y)u(x, y) + f(u(x, y)) = 0 for (x, y) in an unbounded domain R-N1 x Omega(2) subject to the boundary condition u = 0 whenever partial derivativeOmega(2) is nonempty. Our potential V depends only on the y variable and Omega(2) is a bounded or unbounded domain which may coincide with R-N2. The positive parameter epsilon is tending to zero and our solutions u(epsilon) concentrate along minimum points of the unbounded manifold of critical points of V. (C) 2004 Elsevier Inc. All rights reserved.
Subject: Schrodinger equation
degenerate potential
Country: EUA
Editor: Academic Press Inc Elsevier Science
Rights: fechado
Identifier DOI: 10.1016/j.jmaa.2004.03.044
Date Issue: 2004
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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