| Grant number: | 19/22531-4 |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| Effective date (Start): | June 01, 2020 |
| Effective date (End): | February 28, 2023 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
| Principal Investigator: | Olimpio Hiroshi Miyagaki |
| Grantee: | Eduardo de Souza Böer |
| Host Institution: | Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil |
| Associated scholarship(s): | 21/08059-0 - The critical Choquard-Schrodinger-Poisson problems: radial and nonradial solution, existence and multiplicity, BE.EP.DR |
Abstract In this project we study a class of Schröodinger-Poisson type problem, as well as, Choquard-Schröndiger-Poisson equation, planar and in higher dimensions. The study in planar presents a hardy difficullty, because the equation envolves a convolution of a function with logarithm. We are going to study in higher dimensions, some problems permit to recover the compactness, as well in plane.We will attack some problems with prescribed norm, argument due to Jeanjean, which can help in recover the compactness. We also deal with some problem involving the fractional operator and p-laplacian operator. (AU) | |
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