Elliptic problems involving the (1,q)-laplacian and the double-phase operator

• Grant number: 23/05300-4
• Support Opportunities: Regular Research Grants
• Start date: September 01, 2023
• End date: August 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Marcos Tadeu de Oliveira Pimenta
• Grantee: Marcos Tadeu de Oliveira Pimenta
• Host Institution: Faculdade de Ciências e Tecnologia (FCT). Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Presidente Prudente , SP, Brazil
• Associated research grant(s): 24/02017-2 - Quasilinear elliptic problems involving nonhomogeneous operators, AP.R; 23/06617-1 - Quasilinear elliptic PDEs involving the (1,q) Laplacian and the double phase operator, AP.R SPRINT

Abstract

In this project we propose the study of some quasilinear elliptic problems involving the (1,q)-laplacian operator, which consists in the limit of (p,q)-laplacian problems, as p converges do 1. In general, the solutions of this sort of problem are used to have more regularity than those ones of 1-laplacian problems. This allows us to study them in usual Sobolev spaces. In this project, we also will be interested in double-phase type problems, when the parameter p goes to 1. In order to maximize the benefits of this project, we aim to link to it a proposal in FAPESP - SPRINT line of support, in order to involve a researcher from Technische Universität Berlin. (AU)