September 10, 2014 – Nati Regev, Technion

Nati Regev, Technion

Title : Criticality theory of half-linear equations with the (p,A)-Laplacian
Abstract: We extend criticality theory which has been established for linear elliptic operators, and  also for half-linear elliptic operators with the p-Laplacian, to half-linear elliptic operators with the (p,A)-Laplacian. Consequently, we obtain results concerning the behavior of positive solutions of the corresponding homogeneous equation near infinity in $\Gw$, some perturbations results, and a Liouville-comparison theorem.

The talk is based on the speaker’s master thesis which was carried out under the supervision of Professor Yehuda Pinchover