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Bifurcation in geometric variational problems

Grant number: 17/22704-0
Support type:Scholarships in Brazil - Doctorate
Effective date (Start): April 01, 2018
Effective date (End): March 31, 2021
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Paolo Piccione
Grantee:Eduardo Rosinato Longa
Home 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


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)

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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, v. 31, n. 8, p. 7741-7749, . (17/22704-0)
LONGA, EDUARDO ROSINATO. ow Index Capillary Minimal Surfaces in Riemannian 3-Manifold. JOURNAL OF GEOMETRIC ANALYSIS, v. 32, n. 4, . (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.

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