Quasilinear elliptic problems in the space of functions of bounded variation

• Grant number: 17/06119-0
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: August 01, 2017
• End date: April 17, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
• Principal Investigator: Marcos Tadeu de Oliveira Pimenta
• Grantee: Juan Carlos Ortiz Chata
• Host Institution: Faculdade de Ciências e Tecnologia (FCT). Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Presidente Prudente , SP, Brazil
• Associated scholarship(s): 19/13503-7 - Weighted quasilinear elliptic problems in the space of functions of bounded variation, BE.EP.DR

Abstract

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 1Laplacian operators are raised, in order to apply variational methods to obtain solutions. The project aim to explore a gap in the literature with respect to problems in this space, which allows to explore a several quasilinear problems, by using techniques widely used in problems involving the Laplacian or pLaplacian operators. (AU)

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)

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)

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)

CHATA, JUAN CARLOS ORTIZ; PIMENTA, MARCOS T. O.; LEON, SERGIO SEGURA DE. Existence of solutions to a 1-Laplacian problem with a concave-convex nonlinearity. Journal of Mathematical Analysis and Applications, v. 525, n. 2, p. 25-pg., 2023-03-06. (21/04158-4, 19/13503-7, 17/06119-0)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

CHATA, Juan Carlos Ortiz. Quasilinear elliptic problems in the space of bounded variations functions. 2021. Doctoral Thesis - Universidade Estadual Paulista (Unesp). Instituto de Biociências Letras e Ciências Exatas. São José do Rio Preto São José do Rio Preto.