Variational and topologucal methods for field equations

• Grant number: 10/00068-6
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: March 01, 2010
• End date: September 30, 2010
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Paolo Piccione
• Grantee: Gaetano Siciliano
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 07/03192-7 - Submanifold geometry and Morse theory in finite and infinite dimensions, AP.TEM

Abstract

Our aim is to establish existence and multplicity results for an equation or a system of semi-linear variational Scrhroedinger equations, using critical point theory.

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)

BETTIOL, RENATO G.; PICCIONE, PAOLO; SICILIANO, GAETANO. ON THE EQUIVARIANT IMPLICIT FUNCTION THEOREM WITH LOW REGULARITY AND APPLICATIONS TO GEOMETRIC VARIATIONAL PROBLEMS. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, v. 58, n. 1, p. 53-80, FEB 2015. (10/00068-6, 11/21362-2)

BELLAZZINI, JACOPO; SICILIANO, GAETANO. Stable standing waves for a class of nonlinear Schrodinger-Poisson equations. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, v. 62, n. 2, p. 267-280, APR 2011. (10/00068-6)