Symmetry and monotonicity of least energy solutions

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dc.creatorByeon, Jaeyoung
dc.creatorJeanjean, Louis
dc.creatorMariş, Mihai
dc.date2008-06-02
dc.date.accessioned2026-07-07T09:42:13Z
dc.date.available2026-07-07T09:42:13Z
dc.descriptionWe give a simple proof of the fact that for a large class of quasilinear elliptic equations and systems the solutions that minimize the corresponding energy in the set of all solutions are radially symmetric. We require just continuous nonlinearities and no cooperative conditions for systems. Thus, in particular, our results cannot be obtained by using the moving planes method. In the case of scalar equations, we also prove that any least energy solution has a constant sign and is monotone with respect to the radial variable.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0806.0299
dc.identifierhttp://arxiv.org/abs/0806.0299
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162104
dc.subjectAnalysis of PDEs
dc.subjectClassical Analysis and ODEs
dc.subject35J20; 35J45; 35J50; 35J60; 35A15; 35B05
dc.titleSymmetry and monotonicity of least energy solutions
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