Original Article
Kyungpook Mathematical Journal 2008; 48(1): 73-79
Published online March 23, 2008
Copyright © Kyungpook Mathematical Journal.
$overline {cal WT}$-Classes of Differential Forms on Riemannian Manifolds
Gao Hongya1, Gu Zhihua2, Chu Yuming3
"1College of Mathematics and Computer Science, Hebei University, Baoding, 071002, P. R. China Mathematical Study Center of Hebei Province, Shijiazhuang, 050016, P. R. China
2College of Science, Agricultural University of Hebei, Baoding, 071000, P. R. China
3Faculty of Science, Huzhou Teachers College, Huzhou, 313000, P. R. China
"
The purpose of this paper is to study the relations between quasilinear elliptic equations on Riemannian manifolds and differential forms. Two classes of differential forms are introduced and it is shown that some differential expressions are connected in a natural way to quasilinear elliptic equations.
Keywords: weakly closed, differential forms, Riemannian manifold, $cal A$-harmonic equation