Symmetric positive solutions to nonlinear Choquard equations with potentials.

Abstract: 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 RN. As a consequence, the positive solution found is invariant under the same action. I will mainly focus on the physical case involving a quadratic nonlinearity. Joint work together with Liliane Maia and Benedetta Pellacci.

Posted on Nov 5, 2021 in Differential Equations, Seminars