Special Session 90: NONLINEAR ELLIPTIC DIFFERENTIAL EQUATIONS AND APPLICATIONS

On the sub and supersolution method for nonlinear elliptic equations with a convective term.
Giuseppina G. Barletta
University of Reggio Calabria
Italy
Co-Author(s):    E. Tornatore
Abstract:
We present some existence (with also sign information) and regularity results for differential equations, in which the method of sub and supersolutions plays an important role. We focus on Dirichlet problem, for problems driven by a general differential operator, depending on $(x,u,\nabla u)$ , and with a convective term $f$. Our framework is that of Orlicz-Sobolev spaces. We present also several examples.