The maximum principle with lack of monotonicity

Pucci, Patrizia and Rădulescu, Vicenţiu D.: The maximum principle with lack of monotonicity. Electronic journal of qualitative theory of differential equations 58. pp. 1-11. (2018)

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Abstract

We establish a maximum principle for the weighted (p, q)-Laplacian, which extends the general Pucci–Serrin strong maximum principle to this quasilinear abstract setting. The feature of our main result is that it does not require any monotonicity assumption on the nonlinearity. The proof combines a local analysis with techniques on nonlinear differential equations.

Item Type: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2018
Number: 58
Page Range: pp. 1-11
ISSN: 1417-3875
DOI: https://doi.org/10.14232/ejqtde.2018.1.58
Uncontrolled Keywords: Differenciálegyenlet - nemlineáris
Additional Information: Bibliogr.: p. 9-11. ; összefoglalás angol nyelven
Date Deposited: 2019. Jun. 03. 05:13
Last Modified: 2019. Jun. 03. 05:13
URI: http://acta.bibl.u-szeged.hu/id/eprint/58127

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