Existence, multiplicity of positive or sign-changing solutions for Schrödinger-Bopp-Podolsky systems

• Grant number: 25/04533-0
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: December 01, 2025
• End date: November 30, 2027
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Olimpio Hiroshi Miyagaki
• Grantee: Heydy Melchora Santos Damian
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Associated research grant: 22/16407-1 - TESdE: Thematic on Equations and Systems of differential Equations, AP.TEM

Abstract

The aim of this project, following the direction already initiated by the candidate in her publications, is about the study of Schrödinger-Bopp-Podolsky systems. Specifically, we are interested in obtaining results regarding the existence of solutions, preferably positive ones, and it may be of interest to obtain ground state solutions. Additionally, we will looking for sign-changing solutions and results regarding the existence about multiple solutions.