Inserted: 5 oct 2004
Journal: Annali di Matematica Pura e Applicata
We prove the existence of solutions of nonlinear elliptic equations with first order terms having ``natural growth'' with respect to the gradient. The assumptions on the source terms lead to the existence of possibly unbounded solutions (though with exponential integrability). The domain $\Om$ is allowed to have infinite Lebesgue measure.
Keywords: Nonlinear elliptic equations, Gradient terms with natural growth, Unbounded solutions, A priori estimates