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

Grant number: 14/21268-4
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): January 01, 2015
Effective date (End): December 31, 2015
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal Investigator:Suzete Maria Silva Afonso
Grantee:Carolinne Stefane de Souza
Home 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.