Special Session 84: Regularity results of solutions of problems having nonstandard growth and nonuniform ellipticity

Existence results for some classes of nonlinear problems

Andrea Scapellato
University of Catania
Italy
Co-Author(s):    
Abstract:
The talk deals with some existence results for different classes of nonlinear problems driven by $p$-Laplacian-type operators. We also examine some multiplicity results. In some cases, the Ambrosetti-Rabinowitz condition is not imposed. Moreover, we present a problem related to the nonlocal fractional $p(\cdot)$-Laplacian.