Hamiltonian systems of elliptic equations and fourth-order elliptic equations

• Grant number: 10/19320-7
• Support Opportunities: Regular Research Grants
• Start date: March 01, 2011
• End date: February 28, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Ederson Moreira dos Santos
• Grantee: Ederson Moreira dos Santos
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

This project deals with questions of existence, nonexistence, uniqueness, multiplicity, and also with other qualitative properties of solutions of problems involving Hamiltonian systems of elliptic equations and fourth-order elliptic equations. In particular, a very special attention will be directed to the study of qualitative properties of ground state solutions of certain classes of these problems. (AU)

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)

ITURRIAGA, LEONELO; DOS SANTOS, EDERSON MOREIRA; UBILLA, PEDRO. Local minimizers in spaces of symmetric functions and applications. Journal of Mathematical Analysis and Applications, v. 429, n. 1, p. 27-56, SEP 1 2015. (10/19320-7)