CV Lattes
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Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Faculdade de Ciências e Tecnologia (FCT) (Institutional affiliation for the last research proposal) Birthplace: Brazil
Prof. Marcos got his under-graduate course in Licenciatura Plena em Matemática in Universidade Estadual Paulista Júlio de Mesquita Filho (2005), master and doctor degree in Mathematics from Universidade de São Paulo (2008). In 2018, Prof. Marcos, by a public concourse, got the title of Livre-Docente by Universidade de São Paulo (2018) and became Associate Professor in Universidade Estadual Paulista Júlio de Mesquita Filho. Has experience in Mathematics, focusing on Partial Differential Equations, acting on the following subjects: variational methods, elliptic PDEs. (Source: Lattes Curriculum)
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In this project we propose the study of some quasilinear elliptic problems involving the mean-curvature operator, using an underused approach, based on setting the problem in the space of functions of bounded variation. At the same time, we intend to give some contribution in problems involving the 1-laplacian and the 1-biharmonic operators. With the executing this project, besides the st…
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 …
In this project we propose the study of questions on existence of solutions of quasilinear elliptic problems which are modeled in the space of functions of bounded variation. Some questions on the study of problems involving the mean-curvature and 1-Laplacian operators are raised, in order to apply variational methods to obtain solutions. The project aim to explore a gap in the literature…
(Only some records are available in English at this moment)
In this project, we propose the study of the Variational Methods applied to elliptic partial differential equations. We believe that the development of such a project enriches the mathematical background of the student, as well as gives him the basis to follow with his graduate studies.
In this project, which is a continuation of a previous study developed by the student, we propose the study of variation methods applied to the resolution of elliptic partial differential equations. We believe that such subject enriches the mathematical background of the student, as well as provide him better conditions to continue his studies in a graduate program in mathematics.
In this project we propose an introductory study of the main results in Functional Analysis. First of all the student is going to study several topics in Metric Spaces, which will be the basis to proceed to the study of the main topics in Functional Analysis. We propose studying normed vectorial spaces, topological results that allow us to state the Baire Theorem and its consequences.
In this project we propose an introductory study of the main results on Functional Analysis. In a first moment, the student will study several topics on Metric Spaces Theory which will provide him the necessary knowledge to carry on the second moment of the project.
(Only some records are available in English at this moment)
In this project we propose the study of questions on existence of solutions of weighted quasilinear elliptic problems which are modeled in the space of functions of bounded variation. Some questions on the study of problems involving the 1-Laplacian operator and its generalizations are raised, in order to apply variational methods and approximations through p-Laplacian type problems to ob…
| 1 / 1 | Ongoing research grants |
| 7 / 6 | Completed research grants |
| 1 / 1 | Ongoing scholarships in Brazil |
| 12 / 11 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 22 / 20 | All research grants and scholarships |
| Associated processes | |
(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)
| Publications | 17 |
| Citations | 23 |
| Cit./Article | 1.4 |
| Data from Web of Science | |
PIMENTA, MARCOS TO. Radial sign-changing solutions to biharmonic nonlinear Schrodinger equations. BOUNDARY VALUE PROBLEMS, JAN 31 2015. Web of Science Citations: 0. (12/20160-0, 14/16136-1)
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. Web of Science Citations: 0. (19/14330-9)
FIGUEIREDO, GIOVANY M.; PIMENTA, MARCOS T. O.. Existence of ground state solutions to Dirac equations with vanishing potentials at infinity. Journal of Differential Equations, v. 262, n. 1, p. 486-505, JAN 5 2017. Web of Science Citations: 6. (14/16136-1, 15/12476-5)
ALVES, CLAUDIANOR O.; SILVA, EDCARLOS D.; PIMENTO, MARCOS T. O.. Existence of solution for a class of quasilinear elliptic problem without Delta(2)-condition. ANALYSIS AND APPLICATIONS, v. 17, n. 4, p. 665-688, JUL 2019. Web of Science Citations: 0. (17/01756-2)
FIGUEIREDO, GIOVANY M.; PIMENTA, MARCOS T. O.. Nehari method for locally Lipschitz functionals with examples in problems in the space of bounded variation functions. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, v. 25, n. 5, OCT 2018. Web of Science Citations: 2. (17/01756-2)
ALVES, MICHELE O.; PIMENTA, MARCOS T. O.; SUAREZ, ANTONIO. Lotka-Volterra models with fractional diffusion. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, v. 147, n. 3, p. 505-528, JUN 2017. Web of Science Citations: 2. (14/16136-1)
ALVES, CLAUDIANOR O.; PIMENTA, MARCOS T. O.. On existence and concentration of solutions to a class of quasilinear problems involving the 1-Laplace operator. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, v. 56, n. 5, OCT 2017. Web of Science Citations: 7. (17/01756-2)
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. Web of Science Citations: 0. (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. Web of Science Citations: 0. (19/14330-9)
FIGUEIREDO, GIOVANY M.; PIMENTA, MARCOS T. O.. EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A PRESCRIBED MEAN-CURVATURE PROBLEM WITH CRITICAL GROWTH. Electronic Journal of Differential Equations, APR 7 2015. Web of Science Citations: 0. (14/16136-1)
DELGADO, MANUEL; FIGUEIREDO, GIOVANY M.; PIMENTA, MARCOS T. O.; SUAREZ, ANTONIO. STUDY OF A LOGISTIC EQUATION WITH LOCAL AND NON-LOCAL REACTION TERMS. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v. 47, n. 2, p. 693-713, JUN 2016. Web of Science Citations: 1. (14/16136-1, 12/20160-0)
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. Web of Science Citations: 0. (19/13503-7, 19/14330-9, 17/06119-0)
BARILE, SARA; PIMENTA, MARCOS T. O.. Some existence results of bounded variation solutions to 1-biharmonic problems. Journal of Mathematical Analysis and Applications, v. 463, n. 2, p. 726-743, JUL 15 2018. Web of Science Citations: 0. (17/01756-2)
FIGUEIREDO, GIOVANY M.; PIMENTA, MARCOS T. O.. Nodal solutions of an NLS equation concentrating on lower dimensional spheres. BOUNDARY VALUE PROBLEMS, SEP 18 2015. Web of Science Citations: 0. (14/16136-1)
FIGUEIREDO, GIOVANY M.; PIMENTA, MARCOS T. O.. Existence of bounded variation solutions for a 1-Laplacian problem with vanishing potentials. Journal of Mathematical Analysis and Applications, v. 459, n. 2, p. 861-878, MAR 15 2018. Web of Science Citations: 5. (17/01756-2, 15/12476-5)
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. Web of Science Citations: 0. (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. Web of Science Citations: 0. (19/02512-5, 19/14330-9)
(References retrieved automatically from State of São Paulo Research Institutions)
PIMENTA, Marcos Tadeu de Oliveira. Existência e concentração de soluções para sistemas elípticos com condição de Neumann. Dissertação (Mestrado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos. (05/02717-3)