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.

The maximum principle with lack of monotonicity

Pucci, Patrizia
;
2018

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1432119
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