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Type: Artigo de periódico
Title: Multiple Minimal Nodal Solutions For A Quasilinear Schrödinger Equation With Symmetric Potential
Author: Furtado M.F.
Abstract: We deal with the quasilinear\ Schrödinger equation -div( ∇u p-2∇u) + (λa(x) + 1) u p-2u = u q-2u, u ∈ W1,p (ℝN), where 2 ≤ p < N, λ > 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 λ large, existence of solutions which change sign exactly once. We study the concentration behavior of these solutions as λ → ∞. 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. © 2004 Elsevier Inc. All rights reserved.
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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