In this article we study local and global properties of positive solutions of a m-Laplacian equation, m>1, with a gradient type reaction in a domain of RN. Following some ideas used in recent papers by Bidaut Veron et al., and by using a direct Bernstein method combined with Keller-Osserman’s estimate, we obtain several a priori estimates as well as Liouville type theorems. Moreover, we prove a local Harnack inequality with the help of Serrin’s classical results.
A priori estimates and Liouville type results for quasilinear elliptic equationsinvolving gradient terms
ROBERTA FILIPPUCCI
;
In corso di stampa
Abstract
In this article we study local and global properties of positive solutions of a m-Laplacian equation, m>1, with a gradient type reaction in a domain of RN. Following some ideas used in recent papers by Bidaut Veron et al., and by using a direct Bernstein method combined with Keller-Osserman’s estimate, we obtain several a priori estimates as well as Liouville type theorems. Moreover, we prove a local Harnack inequality with the help of Serrin’s classical results.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
