Qualitative properties for solutions of problems involving elliptic equations

• Grant number: 24/20593-0
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: March 01, 2025
• End date: February 28, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Ederson Moreira dos Santos
• Grantee: Gustavo de Paula Ramos
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 22/16407-1 - TESdE: Thematic on Equations and Systems of differential Equations, AP.TEM

Abstract

This project proposes the investigation of qualitative properties of solutions of elliptic partial differential equations, such as symmetry, optimal decay, stability, mainly associated with standing wave solutions for the Hartree and Schrödinger equations.