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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.