| Grant number: | 21/08059-0 |
| Support type: | Scholarships abroad - Research Internship - Doctorate |
| Effective date (Start): | June 01, 2022 |
| Effective date (End): | May 31, 2023 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
| Principal researcher: | Olimpio Hiroshi Miyagaki |
| Grantee: | Eduardo de Souza Böer |
| Supervisor abroad: | Patrizia Pucci |
| Home Institution: | Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil |
| Research place: | Università degli Studi di Perugia, Italy |
| Associated to the scholarship: | 19/22531-4 - Critical non local Choquard-Schrödinger-Poisson equation: existence, multiplicity and properties, BP.DR |
Abstract 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. | |
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