Bifurcation in geometric variational problems

• Grant number: 17/22704-0
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: April 01, 2018
• End date: March 31, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Paolo Piccione
• Grantee: Eduardo Rosinato Longa
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 16/23746-6 - Algebraic, topological and analytical techniques in differential geometry and geometric analysis, AP.TEM

Abstract

We intend to use techniques from global analysis on manifolds (Morse Theory, Lusternik-Schnirelman theory, Bifurcation Theory) to determine multiplicity of solutions of geometric variational problems. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

LONGA, EDUARDO. Sharp Systolic Inequalities for 3-Manifolds with Boundary. JOURNAL OF GEOMETRIC ANALYSIS, OCT 2020. (17/22704-0)

LONGA, EDUARDO. Sharp Systolic Inequalities for 3-Manifolds with Boundary. JOURNAL OF GEOMETRIC ANALYSIS, v. 31, n. 8, p. 7741-7749, AUG 2021. (17/22704-0)

LONGA, EDUARDO ROSINATO. ow Index Capillary Minimal Surfaces in Riemannian 3-Manifold. JOURNAL OF GEOMETRIC ANALYSIS, v. 32, n. 4, APR 2022. (17/22704-0)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

LONGA, Eduardo Rosinato. Systoles and minimal surfaces in 3-manifolds with boundary. 2021. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME/SBI) São Paulo.