%0 Journal Article
%A Carrillo Menéndez, José
%A Chipot, Michel
%T On some nonlinear elliptic-equations involving derivatives of the nonlinearity
%D 1985
%@ 0308-2105
%U https://hdl.handle.net/20.500.14352/64636
%X The 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.
%~