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Type: Artigo de periódico
Title: Multiple minimal nodal solutions for a quasilinear Schrodinger equation with symmetric potential
Author: Furtado, MF
Abstract: We deal with the quasilinear Schrodinger equation -div(vertical bar del u vertical bar p-2 del u) + (lambda a(x) + 1)vertical bar u vertical bar(p-2) u = vertical bar u vertical bar(q-2)u, u is an element of W-1,W-p(R-N), where 2 <= p < N, lambda > 0, and p < q < p* = Np/(N - p). The potential a >= 0 has a potential well and is invariant under an orthogonal involution of RN. We apply variational methods to obtain, for), large, existence of solutions which change sign exactly once. We study the concentration behavior of these solutions as lambda -> infinity. By taking q close p*, we also relate the number of solutions which change sign exactly once with the equivariant topology of the set where the potential a vanishes. (c) 2004 Elsevier Inc. All rights reserved.
Subject: Schrodinger equation
equivariant category
Country: EUA
Editor: Academic Press Inc Elsevier Science
Rights: fechado
Identifier DOI: 10.1016/j.jmaa.2004.09.012
Date Issue: 2005
Appears in Collections:Unicamp - Artigos e Outros Documentos

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