Por Delia Schiera (CAMGSD, Instituto Superior Técnico).

I will present some existence results for a class of Choquard equations in which the potential has a positive limit at infinity and satisfies suitable decay assumptions. Also, it is taken invariant under the action of a closed subgroup of linear isometries of $\mathbb{R}^N$. As a consequence, the positive solution found is invariant under the same action. We investigate superlinear, linear and sublinear nonlinearities, and we take into account an arbitrary number of bumps.

Joint work together with Liliane Maia and Benedetta Pellacci.

Transmissão via Zoom (pw: lisbonwade).

The Lisbon Webinar in Analysis in Differential Equations is a joint iniciative of CAMGSD, CMAFcIO and GFM, three research centers of the University of Lisbon. It is aimed at filling the absence of face-to-face seminars and wishes to be a meeting point of mathematicians working in the field.