The generalization of the Du Bois-Reymond lemma for functions of two variables to the case of partial derivatives of any order
Volume 35 / 1996
Banach Center Publications 35 (1996), 221-236
DOI: 10.4064/-35-1-221-236
Abstract
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.