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/