Existence of solutions for some noncoercive elliptic problems involving derivatives of nonlinear terms
Lucio Boccardo, Gisella Croce, Luigi Orsina · Differential Equations & Applications · 2012
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.