On a strongly anisotropic equation with L 1 data.

In this article, we shall be concerned with the existence of solutions for the strongly non-linear boundary value problem: [image omitted] where A is an elliptic operator of finite order defined from an anisotropic Sobolev space of order m to its dual, g is a Caratheodory function satisfying essentially a sign condition on u with no growth restrictions and f belongs to L1. [ABSTRACT FROM AUTHOR]