Special Session 60: 

Existence results for $p$--fractional Hardy--Schr\\{o}dinger--Kirchhoff systems involving critical nonlinearities

Alessio Fiscella
Universidade Estadual de Campinas
Brazil
Co-Author(s):    
Abstract:
In this talk, we present recent existence results for Hardy--Schr\{o}dinger--Kirchhoff systems driven by $p$--fractional operators and involving critical Sobolev nonlinearities. The proof techniques are based on different variational methods. In particular, to overcome the lack of compactness arising from various reasons, we exploit a tricky qualitative analysis, which we introduced successfully for scalar Kirchhoff equations. Finally, we discuss about some appealing open questions, concerning the study of our problems.