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Type: Artigo de periódico
Title: Spike Solutions Of A Nonlinear Schrödinger Equation With Degenerate Potential
Author: Lorca S.
Montenegro M.
Abstract: We study the existence of positive solutions to the elliptic equation E2Δu(x,y)-V(y)u(x,y)+f(u(x,y))=0 for (x,y) in an unbounded domain ℝN 1 ×Ω2 subject to the boundary condition u=0 whenever ∂Ω2 is nonempty. Our potential V depends only on the y variable and Ω2 is a bounded or unbounded domain which may coincide with ℝN 2. The positive parameter E is tending to zero and our solutions uE concentrate along minimum points of the unbounded manifold of critical points of V. © 2004 Elsevier Inc. All rights reserved.
Rights: fechado
Identifier DOI: 10.1016/j.jmaa.2004.03.044
Date Issue: 2004
Appears in Collections:Unicamp - Artigos e Outros Documentos

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