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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
Effective date (Start): March 01, 2023
Effective date (End): 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
Research place: 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)

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