Anna Maria Candela (Università degli Studi di Bari Aldo Moro)
Genni Fragnelli (Università degli Studi di Siena)
Susana Gutierrez (University of Birmingham)
Dimitri Mugnai (Università degli Studi della Tuscia)
Shrish Parmeshwar (Univeristy of Bath)
Giusi Vaira (Università degli Studi di Bari Aldo Moro)
Abstracts:
Anna Maria Candela
Title: A new critical threshold for a family of quasilinear elliptic problems
Dimitri Mugnai
Title: A magnetic Schr\"odinger-Poisson system with vanishing potentials
We consider a magnetic Schrodinger-Poisson system in presence of potentials. In particular, we face the physical case in which the magnetic potential vanishes at infinity, showing some existence and multiplicity results for ground state solutions. We also treat the case of intertwining solutions, namely solutions which are invariant under the action of some finite or infinite groups.
Giusi Vaira
Title: On the Brezis-Nirenberg problem in low dimensions
In this talk I will present some recent results regarding some open problem for a classical critical problem in a bounded domain in low dimensions. We will discuss the question of the existence of positive solutions and also non-existence that depends on the shape of the domain.