Topics of bifurcation theory in geometric variational problems

• Grant number: 14/04517-0
• Support Opportunities: Scholarships in Brazil - Doctorate (Direct)
• Start date: May 01, 2014
• End date: April 30, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Paolo Piccione
• Grantee: Carlos Wilson Rodriguez Cardenas
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 11/21362-2 - Group actions, submanifold theory and global analysis in Riemannian and pseudo-Riemannian geometry, AP.TEM

Abstract

Our goal is to employ perturbative methods to prove existence and multiplicity of solutions of geometric variational problems, like for instance the Yamabe Problem and its generalizations. (AU)