Weak maximum principle for Dirichlet problems with convection or drift terms
Lucio Boccardo, Istituto Lombardo Accademia di Scienze e Lettere, Via Borgonuovo, 25, Milano, Italia, <sup>†</sup><b>This contribution is part of the Special Issue:</b> Critical values in nonlinear pdes - Special Issue dedicated to Italo Capuzzo Dolcetta, Guest Editor: Fabiana Leoni, Link: <a href="www.aimspress.com/mine/article/5754/special-articles" target="_blank">www.aimspress.com/mine/article/5754/special-articles</a> · Mathematics in Engineering · 2020
In this paper, dedicated to Italo Capuzzo Dolcetta, a maximum principle for some linear boundary value problems with lower order terms of order one is proved: the aim of this paper is the proof that the solutions can be zero at most in a zero measure set, if we assume that the data are greater or equal than zero (but not identically zero).