Variational and topological methods in nonlinear elliptic equations

• Grant number: 16/02617-3
• Support Opportunities: Regular Research Grants
• Start date: June 01, 2016
• End date: May 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Gaetano Siciliano
• Grantee: Gaetano Siciliano
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• City of the host institution: São Paulo

Abstract

Our aim is to study nonlinear elliptic equations and show the existence of solutions, which in general are stationary solutions of the related evolution equation.Since our equations describe various fiscal models, the existence of solution can depend on the fiscal parameters appearing in the equations. It is worth noticing that the equations can be nonlocal and even can involve fractional operators.The methods we use are proper of Nonlinear Analysis. (AU)

Scientific publications

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

AZZOLLINI, ANTONIO; POMPONIO, ALESSIO; SICILIANO, GAETANO. On the Schrodinger-Born-Infeld System. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 50, n. 1, p. 275-289, MAR 2019. (16/02617-3)

SANTOS JUNIOR, JOAO R.; SICILIANO, GAETANO. Positive solutions for a Kirchhoff problem with vanishing nonlocal term. Journal of Differential Equations, v. 265, n. 5, p. 2034-2043, SEP 5 2018. (16/02617-3)