Existence of solutions for some noncercive elliptic problems involving derivatives of nonlinear terms

Abstract

We study a nonlinear equation with an elliptic operator having degenerate coercivity. We prove the existence of a W^{1,1}_0 solution which is distributional or entropic, according to the growth assumptions on a lower order term in divergence form.

References in corpus (1)

• The regularizing effects of some lower order terms in an elliptic equation with degenerate coercivity