Monotonicity up to radially symmetric cores of positive solutions to nonlinear elliptic equations: local moving planes and unique continuation in a non-Lipschitz case

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Date
2004
Indexation documentaire
Analyse
Subject
Dead cores; Cores; Local symmetry; Unique continuation; Hopf's lemma; Maximum principle; Comparison techniques; Non-Lipschitz nonlinearities; Positivity; Symmetry; Monotonicity; Scalar field equations; Elliptic equations
Nom de la revue
Nonlinear Analysis: Theory, Methods & Applications
Volume
58
Numéro
3-4
Date de publication
2004
Pages article
299-317
Nom de l'éditeur
Elsevier
DOI
http://dx.doi.org/10.1016/j.na.2004.04.007
URI
https://basepub.dauphine.fr/handle/123456789/6380
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Auteur
Felmer, Patricio
Dolbeault, Jean
Type
Article accepté pour publication ou publié
Résumé en anglais
We prove local monotonicity and symmetry properties for nonnegative solutions of scalar field equations with nonlinearities which are not Lipschitz. Our main tools are a local moving plane method and a unique continuation argument.