Gradient estimates and comparison principlefor some nonlinear elliptic equations
Maria Francesca Betta, Rosaria Di Nardo, Anna Mercaldo, Adamaria Perrotta · Communications on Pure & Applied Analysis · 2015
We consider a class of Dirichlet boundary problems for nonlinear elliptic equations with a first order term.We show how the summability of the gradient of a solution increases when the summability of the datum increases. We alsoprove comparison principle which gives in turn uniqueness results by strenghtening the assumptions on the operators.