Dirichlet problems with singular and gradient quadratic lower order terms

Abstract

We present a revisited form of a result proved in [Boccardo, Murat and Puel, Portugaliae Math. 41 (1982) 507-534] and then we adapt the new proof in order to show the existence for solutions of quasilinear elliptic problems also if the lower order term has quadratic dependence on the gradient and singular dependence on the solution. © 2008 EDP Sciences SMAI.