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Variational and topological methods in nonlinear elliptic equations

Grant number: 16/02617-3
Support Opportunities:Regular Research Grants
Duration: June 01, 2016 - 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

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)

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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)
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, . (16/02617-3)
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, . (16/02617-3)

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