The maximum principle with lack of monotonicity

The maximum principle with lack of monotonicity

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...

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Bibliographic Details
Main Authors: Patrizia Pucci, Vicenţiu Rădulescu
Format: Article
Language:English
Published: University of Szeged 2018-06-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
generalized maximum principle
$(p
q)$-operator
nonlinear differential inequality
normal derivative
positive solution
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6644
Description
Summary: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.
ISSN:1417-3875
1417-3875

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