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On the Harnack Inequality for Quasilinear Elliptic Equations With a First Order Term
Citation
Merchán Rubira, Susana 
ORCID: https://orcid.org/0000-0002-4463-8140, Montoro, Luigi and Sciunzi, Berardino
(2018).
On the Harnack Inequality for Quasilinear Elliptic Equations With a First Order Term.
"Proceedings of the Royal Society of Edinburgh Section a-Mathematics"
;
pp. 1-21.
ISSN 1473-7124.
https://doi.org/10.1017/S030821051700035X.
Description
| Title: | On the Harnack Inequality for Quasilinear Elliptic Equations With a First Order Term |
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| Author/s: |
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| Item Type: | Article |
| Título de Revista/Publicación: | Proceedings of the Royal Society of Edinburgh Section a-Mathematics |
| Date: | 22 February 2018 |
| ISSN: | 1473-7124 |
| Subjects: | |
| Freetext Keywords: | p-Laplace operator; Harnack inequality; comparison principle |
| Faculty: | E.T.S.I. Caminos, Canales y Puertos (UPM) |
| Department: | Matemática e Informática Aplicadas a la Ingenierías Civil y Naval |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
We consider weak solutions to −∆pu + a(x, u)|∇u|q = f(x, u), with p > 1, q ≥ max{p − 1, 1}. We exploit the Moser iteration technique to prove a Harnack comparison inequality for C 1 weak solutions. As a consequence we deduce a strong comparison principle.
More information
| Item ID: | 48809 |
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| DC Identifier: | https://oa.upm.es/48809/ |
| OAI Identifier: | oai:oa.upm.es:48809 |
| DOI: | 10.1017/S030821051700035X |
| Official URL: | https://www.cambridge.org/core/journals/proceeding... |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 22 Mar 2018 18:38 |
| Last Modified: | 15 Dec 2022 11:17 |
