Topological methods applied to elliptic problems involving the mean-curvature operator

• Grant number: 24/17547-7
• Support Opportunities: Scholarships abroad - Research Internship - Master's degree
• Start date: April 01, 2025
• End date: June 30, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Marcos Tadeu de Oliveira Pimenta
• Grantee: Mariele Vaz Quiraldello
• Supervisor: Antonio Suarez Fernandez
• Host Institution: Faculdade de Ciências e Tecnologia (FCT). Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Presidente Prudente , SP, Brazil
• Institution abroad: Universidad de Sevilla (US), Spain
• Associated to the scholarship: 24/02669-0 - Study of mean curvature problems by elliptic regularization, BP.MS

Abstract

In this project we propose the study of questions on existence of solutions of elliptic problems by using topological methods, like sub-super solutions, bifurcation arguments and index theory. More specifically, we aim to complement the mathematical formation of the student, by introducing topological methods to deal with problems involving the mean-curvature operator.