Sub-supersolution Method for Nonlinear Elliptic Equation with non-coercivity in divergentiel form in Orlicz Spaces

摘要

In this work, we shall be concerned with the existence result to the nonlinear elliptic equations -div(a(x,u, ▽u)) + Φ(x,u)) +g(x, u, ▽u) = 0, in the setting of Orlicz spaces. The results obtained are proved using the sub- and supersolution method.