FST-Université de Limoges,
123, Av. Albert Thomas.
Description
We study obstacle problems for second order nonlinear elliptic equations whose model appears in the stationary diffusion-convection problem. We obtain existence, uniqueness and regularity of solutions assuming that the growth coefficient of the convection term lies in the Marcinkiewicz space $L^{N,infty}(Omega)$ without assuming the smallness of the norm. Therefore, we are dealing with problems that are in general not coercive. The presented results are obtained in collaboration with L. Greco and G. Moscariello.
