A generalization of the well-known weak maximum principle is established for a class of quasilinear strongly coupled parabolic systems with leading terms of p-Laplacian type.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap81-3-2,
author = {Dmitry Portnyagin},
title = {A generalization of the maximum principle to nonlinear parabolic systems},
journal = {Annales Polonici Mathematici},
volume = {81},
year = {2003},
pages = {217-236},
zbl = {1101.35310},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap81-3-2}
}
Dmitry Portnyagin. A generalization of the maximum principle to nonlinear parabolic systems. Annales Polonici Mathematici, Tome 81 (2003) pp. 217-236. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap81-3-2/