In the paper, the generalization of the Du Bois-Reymond lemma for functions of two variables to the case of partial derivatives of any order is proved. Some application of this theorem to the coercive Dirichlet problem is given.
@article{bwmeta1.element.bwnjournal-article-bcpv35i1p221bwm,
author = {Idczak, Dariusz},
title = {The generalization of the Du Bois-Reymond lemma for functions of two variables to the case of partial derivatives of any order},
journal = {Banach Center Publications},
volume = {37},
year = {1996},
pages = {221-236},
zbl = {0868.49015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv35i1p221bwm}
}
Idczak, Dariusz. The generalization of the Du Bois-Reymond lemma for functions of two variables to the case of partial derivatives of any order. Banach Center Publications, Tome 37 (1996) pp. 221-236. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv35i1p221bwm/
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