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Concave-convex type problems with local and nonlocal operators

Grant number: 19/19699-0
Support type:Scholarships abroad - Research
Effective date (Start): January 06, 2020
Effective date (End): July 30, 2020
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal researcher:Eugenio Tommaso Massa
Grantee:Eugenio Tommaso Massa
Host: David Arcoya Álvarez
Home Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Research place: Universidad de Granada (UGR), Spain  


In this project we propose to study elliptic problems which exhibit characteristics similar to the so called concave-convex problems, where the nontrivial interaction between the nonlinearity and the operator usually gives rise to situations of either existence, nonexistence or multiplicity of solutions, depending on some parameter.In particular, we aim to study cases where such characteristics are not given by the shape of the nonlinearity, as is usually found in literature, but by the operator itself, which will be a nonlocal operator (as the Kirchhoff operator, or some of its generalizations), or an operator which is nonhomogenous or whose behavior varies in the domain. (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)
MASSA, EUGENIO. Concave-convex behavior for a Kirchhoff type equation with degenerate nonautonomous coefficient. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, v. 28, n. 6, . (19/19699-0)
ITURRIAGA, LEONELO; MASSA, EUGENIO. Sobolev versus Holder local minimizers in degenerate Kirchhoff type problems. Journal of Differential Equations, v. 269, n. 5, p. 4381-4405, . (19/19699-0, 14/25398-0)

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