CV Lattes
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Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Faculdade de Ciências e Tecnologia (FCT) (Institutional affiliation from 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 quasilinear elliptic problems involving non-homogeneous operators, containing asymptotically linear terms. We intend to contribute to the literature in the area, proving results on the existence of solutions to problems involving a class of operators not yet addressed, through techniques involving the approximation by known quasilinear elliptic pro…
In this project we propose to develop a joint research on some quasilinear elliptic problems involving the (1,q)-Laplacian operator, which consists in the limit of (p,q)-Laplacian problems, as p converges to 1. In general, the solutions of this kind of problem are used to have more regularity than those ones of 1-Laplacian problems. This allows us to study them in usual Sobolev spaces. Al…
In this project we propose the study of some quasilinear elliptic problems involving the (1,q)-laplacian operator, which consists in the limit of (p,q)-laplacian problems, as p converges do 1. In general, the solutions of this sort of problem are used to have more regularity than those ones of 1-laplacian problems. This allows us to study them in usual Sobolev spaces. In this project, we …
In this plan, we detail the activities to be developed by Prof. Giovany de Jesus Malcher Figueiredo, during his visit to the Department of Mathematics and Computing at FCT - Unesp. Among other activities, Prof. Giovany will collaborate with research projects being developed by Prof. Marcos Tadeu de Oliveira Pimenta, as well as developing his own project, involving Schrödinger equations wi…
In this activity plan, we detail the benefits of the visit of Prof. Dr. João Rodrigues dos Santos Júnior to the Department of Mathematics and Computing at FCT - Unesp, to collaborate in research projects under development by Prof. Dr. Marcos Tadeu de Oliveira Pimenta. In addition to these, we propose the development of a new research project, in which we intend to study some elliptical pr…
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…
(Only some records are available in English at this moment)
In this project, we propose the study of quasilinear elliptic problems involving non-homogeneous operators, containing asymptotically linear terms. We intend to contribute to the literature in the area, proving results on the existence of solutions to problems involving a class of operators not yet addressed, through techniques involving the approximation by known quasilinear elliptic pro…
In this project we propose a deep study of quasilinear elliptic problems involving the 1-laplacian and mean curvature operators with singular nonlinearities. We pretend to obtain existence results of nontrivial solutions by following an approach based on the approximation by solutions of related problems involving the p-laplacian operator. In this process, the most challenging part is to …
In this project we aim to study elliptic problems involving the mean curvature operator, through an elliptic regularization process. Such an approach has been used by some authors, in actual and interesting works. Still, we aim to give an original contribution to the literature in this field, by the study of the existence of nontrivial solutions to capillary problems.
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, we propose an introductory study of the main results of Functional Analysis. At first, the student will study several topics of Metric Spaces, which will serve as a subsidy to be able to progress in the study of Functional Analysis topics. It is intended to study the normed vector spaces, going through topological notions that allow enunciating and proving Baire's Theorem…
(Only some records are available in English at this moment)
In this project we propose the study of questions on existence of solutions of elliptic problems by using topological methods, like sub-super solutions, bifurcation arguments and index theory. More specifically, we aim to complement the mathematical formation of the student, by introducing topological methods to deal with problems involving the mean-curvature operator.
In this project we propose the study of questions on existence of solutions of singular quasilinear elliptic problems which are modeled in the space of functions of bounded variation. Some questions on the study of problems involving the 1Laplacian operator are raised, in order to apply variational methods and approximations through pLaplacian type problems to obtain solutions. (AU)
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…
| 3 / 3 | Ongoing grants |
| 10 / 9 | Completed research grants |
| 2 / 2 | Ongoing scholarships in Brazil |
| 16 / 15 | Completed scholarships in Brazil |
| 1 / 1 | Ongoing scholarships abroad |
| 2 / 2 | Completed scholarships abroad |
| 34 / 32 | All research grants and scholarships |
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