On the Harnack Inequality for Quasilinear Elliptic Equations With a First Order Term

Merchán Rubira, Susana and 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
Author/s:
  • Merchán Rubira, Susana
  • Montoro, Luigi
  • Sciunzi, Berardino
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

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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
DC Identifier: http://oa.upm.es/48809/
OAI Identifier: oai:oa.upm.es:48809
DOI: 10.1017/S030821051700035X
Official URL: https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics
Deposited by: Memoria Investigacion
Deposited on: 22 Mar 2018 18:38
Last Modified: 22 Mar 2018 18:38
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