Regularity and comparison principles for p-Laplace equations with vanishing source term
Berardino Sciunzi · Communications in Contemporary Mathematics · 2013
We prove some sharp estimates on the summability properties of the second derivatives of solutions to the equation –Δpu = f(x), under suitable assumptions on the source term. As an application, we deduce some strong comparison principles for the p-Laplacian, in the case of vanishing source terms.