Hamiltonian systems of elliptic equations

• Grant number: 10/00603-9
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: May 01, 2010
• End date: April 30, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Ederson Moreira dos Santos
• Grantee: Jessyca Lange Ferreira Melo
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

This project addresses issues of existence, uniqueness, multiplicity of solutions and also on other qualitative properties of solutions of Hamiltonian systems of elliptic equations. Related problems involving nonlinear elliptic equations of fourth order are also considered.

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

FERREIRA MELO, JESSYCA LANGE; DOS SANTOS, EDERSON MOREIRA. A FOURTH-ORDER EQUATION WITH CRITICAL GROWTH: THE EFFECT OF THE DOMAIN TOPOLOGY. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v. 45, n. 2, p. 551-574, JUN 2015. (10/19320-7, 10/00603-9)

FERREIRA MELO, JESSYCA LANGE; DOS SANTOS, EDERSON MOREIRA. Positive solutions to a fourth-order elliptic problem by the Lusternik-Schnirelmann category. Journal of Mathematical Analysis and Applications, v. 420, n. 1, p. 532-550, DEC 1 2014. (10/19320-7, 10/00603-9)

Academic Publications

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

MELO, Jessyca Lange Ferreira. On the multiplicity of positive solutions for a class of fourth-order elliptic problems by Lusternik-Schnirelman category. 2014. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.