WT-classess Of Differential Forms On Riemannian Manifolds

A-harmonic equation is an important kind of quasilinear ellipitc equation. It has many important applications in quasiconformal analysis and nonlinear elasticity. The solution of A-harmonic equation and the differential forms have many affinities. Two classes of differential forms are introduced and it is shown that some differential expressions connected in a natural way to quasilinear elliptic equations. The relations betten quasilinear elliptic equations and weighted differential forms on Riemannian manifolds are obtained.