Study of partial differential equations via variational and topological methods

• Grant number: 19/27491-0
• Support Opportunities: Scholarships abroad - Research
• Effective date (Start): August 08, 2021
• Effective date (End): August 07, 2022
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Gaetano Siciliano
• Grantee: Gaetano Siciliano
• Host Investigator: Pietro Davenia
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Research place: Politecnico di Bari, Italy

Abstract

Our aim is to continue the study of some partial differential equations of interest in mathematical physics and engineering, by means of topological and variational methods. (AU)

Scientific publications

(6)

(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)

RAMOS, GUSTAVO DE PAULA; SICILIANO, GAETANO. Existence and limit behavior of least energy solutions to constrained Schrodinger-Bopp-Podolsky systems in R-3. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, v. 74, n. 2, p. 17-pg., 2023-04-01. (19/27491-0)

SANTOS, JOAO R.; SICILIANO, GAETANO. Multiple solutions for some strongly degenerate second order elliptic equations. ASYMPTOTIC ANALYSIS, v. 129, n. 2, p. 12-pg., 2022-01-01. (19/27491-0)

LIU, ZHISU; SICILIANO, GAETANO. A perturbation approach for the Schrodinger-Born-Infeld system: Solutions in the subcritical and critical case. Journal of Mathematical Analysis and Applications, v. 503, n. 2, NOV 15 2021. (18/17264-4, 19/27491-0, 16/23746-6)

GASINSKI, LESZEK; SANTOS JUNIOR, JOAO R.; SICILIANO, GAETANO. Positive solutions for a class of nonlocal problems with possibly singular nonlinearity. Journal of Fixed Point Theory and Applications, v. 24, n. 3, p. 15-pg., 2022-09-01. (19/27491-0)

D'AVENIA, PIETRO; MAIA, LILIANE; SICILIANO, GAETANO. Hartree-Fock type systems: Existence of ground states and asymptotic behavior. Journal of Differential Equations, v. 335, p. 35-pg., 2022-07-22. (19/27491-0)

AFONSO, DANILO G. G.; SICILIANO, GAETANO. Normalized solutions to a Schrodinger-Bopp-Podolsky system under Neumann boundary conditions. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, v. 25, n. 02, p. 20-pg., 2023-03-01. (19/27491-0)