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 |