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Singular quasilinear elliptic problems involving the 1-laplacian and mean curvature operators

Grant number: 21/12773-0
Support Opportunities:Scholarships in Brazil - Post-Doctoral
Effective date (Start): April 01, 2022
Status:Discontinued
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal Investigator:Marcos Tadeu de Oliveira Pimenta
Grantee:Matheus Frederico Stapenhorst
Host Institution: Faculdade de Ciências e Tecnologia (FCT). Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Presidente Prudente , SP, Brazil
Associated scholarship(s):22/15727-2 - Singular quasilinear elliptic problems involving the 1-laplacian operator, BE.EP.PD

Abstract

In this project we propose a deep study of quasilinear elliptic problems involving the 1-laplacian and mean curvature operators with singular nonlinearities. We pretend to obtain existence results of nontrivial solutions by following an approach based on the approximation by solutions of related problems involving the p-laplacian operator. In this process, the most challenging part is to obtain delicate uniform estimates on p of solutions of the approximated problems, which will demand the use of refined techniques in mathematical analysis.

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