Quasilinear elliptic problems involving 1-Laplacian operator with a general singular term

• Grant number: 22/06050-9
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date: March 01, 2023
• End date: February 29, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Olimpio Hiroshi Miyagaki
• Grantee: Juan Carlos Ortiz Chata
• Supervisor: Luigi Orsina
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Institution abroad: Università degli Studi di Roma La Sapienza, Italy
• Associated to the scholarship: 21/08272-6 - Quasilinear elliptic problems involving the weighted 1-laplacian operator, BP.PD

Abstract

In this project we propose the study of questions on existence of solutions of quasilinear elliptic problem, whose nonlinearity is the perturbation of a general singular term, which, in turn, is 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 arised, in order to apply variational methods and throughp-laplacian type problems to obtain solutions. (AU)