Variational and nonvariational elliptic problems involving the 1-Laplacian operator

• Grant number: 19/14330-9
• Support Opportunities: Regular Research Grants
• Start date: September 01, 2019
• End date: August 31, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Marcos Tadeu de Oliveira Pimenta
• Grantee: Marcos Tadeu de Oliveira Pimenta
• Host Institution: Faculdade de Ciências e Tecnologia (FCT). Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Presidente Prudente , SP, Brazil

Abstract

In this project we propose the study of some quasilinear elliptic problems involving the 1laplacian operator and some other operators related to it. Variational techniques as well as some others recently studied by the proponent are going to be used. With this project, besides the deepening of the study of a very promising theme, there will be the involvement of some graduate and pos-doc students whose projects are related to. (AU)

Scientific publications

(7)

(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)

FIGUEIREDO, GIOVANY M.; PIMENTA, MARCOS T. O.. Sub-supersolution method for a quasilinear elliptic problem involving the 1-laplacian operator and a gradient term. JOURNAL OF FUNCTIONAL ANALYSIS, v. 278, n. 3, FEB 1 2020. (19/14330-9)

ALVES, CLAUDIANOR O.; FIGUEIREDO, GIOVANY M.; PIMENTA, MARCOS T. O.. Existence and Profile of Ground-State Solutions to a 1-Laplacian Problem in R-N. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 51, n. 3, NOV 2019. (19/14330-9)

HURTADO, ELARD J.; PIMENTA, MARCOS T. O.; MIYAGAKI, OLIMPIO H.. On a quasilinear elliptic problem involving the 1-biharmonic operator and a Strauss type compactness result. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, v. 26, NOV 13 2020. (19/14330-9)

ORTIZ CHATA, JUAN C.; PIMENTA, MARCOS T. O.; SEGURA DE LEON, SERGIO. Anisotropic 1-Laplacian problems with unbounded weights. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, v. 28, n. 6, DEC 2021. (19/14330-9, 17/06119-0, 19/13503-7)

PIMENTA, MARCOS T. O.; MONTENEGRO, MARCELO. Existence of a BV solution for a mean curvature equation. Journal of Differential Equations, v. 299, p. 51-64, OCT 25 2021. (19/02512-5, 19/14330-9)

ALVES, CLAUDIANOR O.; OURRAOUI, ANASS; PIMENTA, MARCOS T. O.. Multiplicity of solutions for a class of quasilinear problems involving the 1-Laplacian operator with critical growth. Journal of Differential Equations, v. 308, p. 545-574, JAN 25 2022. (19/14330-9)

ORTIZ CHATA, JUAN C.; PIMENTA, MARCOS T. O.. A Berestycki-Lions' type result to a quasilinear elliptic problem involving the 1-Laplacian operator. Journal of Mathematical Analysis and Applications, v. 500, n. 1, AUG 1 2021. (19/13503-7, 19/14330-9, 17/06119-0)