Geometric variational problems and PDEs

• Grant number: 11/01081-9
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: April 01, 2011
• End date: March 31, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Paolo Piccione
• Grantee: Paolo Piccione
• Visiting researcher: Gaetano Siciliano
• Visiting researcher institution: Università degli Studi di Bari - Aldo Moro, Italy
• 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 research project deals with the study of some variational problemsarising in analysis and geometry. We are essentially interested in applications and develop of tools of nonlinear analysis to investigate existence, non-existence, multiplicity and bifurcation of critical points of suitable functional which give rise to solutions of partial differential equations of interesting analysis and geometry. (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)

BELLAZZINI, JACOPO; SICILIANO, GAETANO. Scaling properties of functionals and existence of constrained minimizers. JOURNAL OF FUNCTIONAL ANALYSIS, v. 261, n. 9, p. 2486-2507, NOV 1 2011. (11/01081-9)

PISANI, LORENZO; SICILIANO, GAETANO. CONSTRAINED SCHRODINGER-POISSON SYSTEM WITH NON-CONSTANT INTERACTION. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, v. 15, n. 1, FEB 2013. (11/21362-2, 11/01081-9)