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Type: Artigo de periódico
Title: Symmetry of mountain pass solutions of some vector field equations
Author: Lopes, O
Montenegro, M
Abstract: We prove radial symmetry (or axial symmetry) of the mountain pass solution of variational elliptic systems -A Delta u(x) + del F(u(x)) = 0 (or -del.(A(r)del u(x)) + del F(r, u(x)) =0,) u(x) = (u(1)(x),...,u(N)(x)), where A (or A(r)) is a symmetric positive definite matrix. The solutions are defined in a domain Omega which can be R-N, a ball, an annulus or the exterior of a ball. The boundary conditions are either Dirichlet or Neumann (or any one which is invariant under rotation). The mountain pass solutions studied here are given by constrained minimization on the Nehari manifold. We prove symmetry using the reflection method introduced in Lopes.
Subject: vector field equations
mountain pass
radial symmetry
axial symmetry
Country: EUA
Editor: Springer
Citation: Journal Of Dynamics And Differential Equations. Springer, v. 18, n. 4, n. 991, n. 999, 2006.
Rights: fechado
Identifier DOI: 10.1007/s10884-006-9043-0
Date Issue: 2006
Appears in Collections:Unicamp - Artigos e Outros Documentos

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