In this project we will study a class of Schrodinger-Poisson type problems, as well as, Choquard-Schrondiger-Poisson problems, in R^N, if N=2,3. The study in R^2 presents a crucial difficulty, since the equation involves a convolution with the logarithm function. We consider the problems with potentials that permit recover the compactness of the embedding. We will study problems with prescript norm and problems involving the fractional operator with Hardy singular potential, aiming to obtain the existence of radial and nonradial solutions.
News published in Agência FAPESP Newsletter about the scholarship: