Existence and concentration of solutions to elliptic systems with Neumann boundary conditions

• Grant number: 05/02717-3
• Support Opportunities: Scholarships in Brazil - Master
• Start date: April 01, 2006
• End date: March 31, 2008
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Sergio Henrique Monari Soares
• Grantee: Marcos Tadeu de Oliveira Pimenta
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

We consider a class of elliptic systems in bounded domains, with Neumann boundary conditions. We study the proof of existence of a family of solutions to such a system concentrate, as a diffusion goes to zero, at a point of the boundary which maximizes the mean curvature of the boundary.

Academic Publications

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

PIMENTA, Marcos Tadeu de Oliveira. Existence and concentration of solutions to elliptic systems with Neumann boundary conditions.. 2008. Master's Dissertation - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.