New results on nonlinear Choquard equations with symmetry

We will present some recent results on existence of positive solutions for a class of Choquard equations with potential decaying at a positive limit at infinity. The solutions found are invariant under the action of a closed subgroup of linear isometries of \(\mathbb{R}^N\), provided the potential is invariant under the group action and satisfies suitable decay assumptions. We investigate superlinear, linear, and sublinear nonlinearities, and we take into account an arbitrary number of bumps. Our results in particular include the physical case.
This is a work in collaboration with Benedetta Pellacci ( Università della Campania ''Luigi Vanvitelli'', Caserta, Italy) and and Delia Schiera (Instituto Superior Técnico de Lisboa, Portugal).

Liga de Zoom:

https://cuaieed-unam.zoom.us/j/89946525336?pwd=K3FtTytiaVNsZFBBcHlRMjFiVWZFUT09

Meeting ID: 899 4652 5336
Passcode: 570119