Carrillo Menéndez, JoséChipot, Michel2023-06-212023-06-2119850308-210510.1016/0022-0396(82)90068-7https://hdl.handle.net/20.500.14352/64636The existence of weak solutions of the Dirichlet problem for nonlinear elliptic equations of the type −(∂/∂x j )(a ij (x)u x i +b j (u))+a(x)u=f is proved for nonlinearities b j which are only continuous. The proof is based on the observation that an L ∞ a priori estimate is valid which is independent of b j . The second part contains several uniqueness results and counterexamples, showing that uniqueness may fail in general.engOn some nonlinear elliptic-equations involving derivatives of the nonlinearityjournal articlehttp://journals.cambridge.org/abstract_S0308210500013822http://www.cambridge.org/restricted access517.9Nonlinear elliptic equationsEcuaciones diferenciales1202.07 Ecuaciones en Diferencias