Monotonicity up to radially symmetric cores of positive solutions to nonlinear elliptic equations: local moving planes and unique continuation in a non-Lipschitz case
Abstract
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. © 2004 Elsevier Ltd. All rights reserved.
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Título según WOS: | Monotonicity up to radially symmetric cores of positive solutions to nonlinear elliptic equations: local moving planes and unique continuation in a non-Lipschitz case |
Título según SCOPUS: | Monotonicity up to radially symmetric cores of positive solutions to nonlinear elliptic equations: Local moving planes and unique continuation in a non-Lipschitz case |
Título de la Revista: | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS |
Volumen: | 58 |
Número: | 03-abr |
Editorial: | PERGAMON-ELSEVIER SCIENCE LTD |
Fecha de publicación: | 2004 |
Página de inicio: | 299 |
Página final: | 317 |
Idioma: | English |
URL: | http://linkinghub.elsevier.com/retrieve/pii/S0362546X04001713 |
DOI: |
10.1016/j.na.2004.04.007 |
Notas: | ISI, SCOPUS |