Weighted quasilinear elliptic problems in the space of functions of bounded variation

• Grant number: 19/13503-7
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: November 01, 2019
• End date: June 17, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Marcos Tadeu de Oliveira Pimenta
• Grantee: Juan Carlos Ortiz Chata
• Supervisor: Sergio Segura de Leon
• Host Institution: Faculdade de Ciências e Tecnologia (FCT). Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Presidente Prudente , SP, Brazil
• Institution abroad: Universitat de València, Spain
• Associated to the scholarship: 17/06119-0 - Quasilinear elliptic problems in the space of functions of bounded variation, BP.DR

Abstract

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 obtain solutions.

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)