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Weak maximum principle for Dirichlet problems with convection or drift terms

Istituto Lombardo Accademia di Scienze e Lettere, Via Borgonuovo, 25, Milano, Italia

This contribution is part of the Special Issue: Critical values in nonlinear pdes - Special Issue dedicated to Italo Capuzzo Dolcetta
Guest Editor: Fabiana Leoni
Link: www.aimspress.com/mine/article/5754/special-articles

Special Issues: Critical values in nonlinear pdes - Special Issue dedicated to Italo Capuzzo Dolcetta

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).
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Keywords weak maximum principle; Dirichlet problems with convection terms; Dirichlet problems with drift terms; very singular terms; very singular solutions

Citation: Lucio Boccardo. Weak maximum principle for Dirichlet problems with convection or drift terms. Mathematics in Engineering, 2021, 3(3): 1-9. doi: 10.3934/mine.2021026


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This article has been cited by

  • 1. David Arcoya, Lucio Boccardo, Maximum principle thanks to interplay between coefficients in some Dirichlet problems, Applied Mathematics Letters, 2021, 112, 106701, 10.1016/j.aml.2020.106701

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