Fourth order elliptic equations

• Grant number: 12/23741-3
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: June 01, 2013
• End date: March 31, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Ederson Moreira dos Santos
• Grantee: Vanderley Alves Ferreira Junior
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The purpose of this work is to study problems of elliptic equations involving the biharmonic operator under the boundary conditions of the type: Navier, Dirichlet and Steklov. Under these boundary conditions we study: the question on the positivity of the Green function; questions involving positivity of solutions of minimum energy; questions on the symmetry of solutions of minimum energy; questions about the existence, uniqueness and multiplicity of positive solutions; some conjectures involving the biharmonic operator. (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, JR., VANDERLEY; DOS SANTOS, EDERSON MOREIRA. On the finite space blow up of the solutions of the Swift-Hohenberg equation. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, v. 54, n. 1, p. 1161-1182, SEP 2015. (14/03805-2, 12/23741-3)

FERREIRA, JR., VANDERLEY; GAZZOLA, FILIPPO; DOS SANTOS, EDERSON MOREIRA. Instability of modes in a partially hinged rectangular plate. Journal of Differential Equations, v. 261, n. 11, p. 6302-6340, DEC 5 2016. (14/03805-2, 15/17096-6, 12/23741-3)

Academic Publications

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

FERREIRA JUNIOR, Vanderley Alves. Fourth order equations modelling oscillations on bridges. 2016. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.