Eliptic problems with nonlinear boundary conditions

• Grant number: 19/10627-7
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: July 01, 2019
• End date: December 16, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Marcelo da Silva Montenegro
• Grantee: Jesus Alberto Leon Tordecilla
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

In this project it is proposed a study of the existence of solutions of a problem of elliptic partial differential equations with nonlinear boundary condition. The main work to be studied shows the existence of nontrivial and positive solutions for certain conditions of the nonlinear term considered at the boundary of the domain. As a previous requirement, it will be necessary to study the basic tools used in the theory of nonlinear elliptic partial differential equations involving the variational methods. (AU)

Academic Publications

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

TORDECILLA, Jesus Alberto Leon. Elliptic problem with nonlinear boundary condition. 2021. Doctoral Thesis - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.