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

• Grant number: 19/13503-7
• Support type: Scholarships abroad - Research Internship - Doctorate
• Effective date (Start): November 01, 2019
• Effective date (End): April 30, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• Principal Investigator: Marcos Tadeu de Oliveira Pimenta
• Grantee: Juan Carlos Ortiz Chata
• Supervisor abroad: Sergio Segura de Leon
• Home Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil
• Local de pesquisa : 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.