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)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

PIMENTA, MARCOS T. O.; WINKERT, PATRICK. Strongly singular problems with unbalanced growth. Annali di Matematica Pura ed Applicata, v. N/A, p. 17-pg., 2025-03-25. (23/05300-4, 23/06617-1)