Singular quasilinear elliptic problems involving the 1-laplacian operator

• Grant number: 22/15727-2
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date: August 01, 2023
• End date: July 31, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Marcos Tadeu de Oliveira Pimenta
• Grantee: Matheus Frederico Stapenhorst
• Supervisor: Francesco Petitta
• Host Institution: Faculdade de Ciências e Tecnologia (FCT). Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Presidente Prudente , SP, Brazil
• Institution abroad: Università degli Studi di Roma La Sapienza, Italy
• Associated to the scholarship: 21/12773-0 - Singular quasilinear elliptic problems involving the 1-laplacian and mean curvature operators, BP.PD

Abstract

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)