Topics in bifurcation theory for geometric variational problems

• Grant number: 17/10001-5
• Support Opportunities: Scholarships in Brazil - Doctorate (Direct)
• Start date: August 01, 2017
• End date: July 31, 2018
• 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

Abstract

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

Academic Publications

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

CARDENAS, Carlos Wilson Rodriguez. Genericity of bumpy metrics, bifurcation and stability in free boundary CMC hypersurfaces. 2018. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME/SBI) São Paulo.