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.File in questo prodotto:
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