Abstract
We consider the nonlinear elliptic system where Ω is a bounded, open subset of , ; is a coercive, symmetric matrix with coefficients; and belong to some Lebesgue space, and is a continuous function such that Using a duality technique, we prove existence of at least a weak solution . Moreover, if N=3 or N=4, we prove under stronger assumptions on and that the solution u belongs to .
Disclosure statement
No potential conflict of interest was reported by the author(s).