Theory of topological degree of Brouwer and Leray-Schauder and applications

• Grant number: 14/21268-4
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: January 01, 2015
• End date: December 31, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Suzete Maria Silva Afonso
• Grantee: Carolinne Stefane de Souza
• Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil

Abstract

This project aims to explore the abstract theory of the degree of Brouwer and Leray-Schauder, establish the application of this theory to abstract equations, and present an application of the theory of topological degree developed byLeray-Schauder to a class of second order semilinear elliptic equations.