Quasilinear elliptic problems involving nonhomogeneous operators

• Grant number: 24/13814-0
• Support Opportunities: Scholarships in Brazil - Support Program for Fixating Young Doctors
• Start date: September 01, 2024
• End date: August 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Marcos Tadeu de Oliveira Pimenta
• Grantee: Yino Beto Cueva Carranza
• Host Institution: Faculdade de Ciências e Tecnologia (FCT). Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Presidente Prudente , SP, Brazil
• Associated research grant: 24/02017-2 - Quasilinear elliptic problems involving nonhomogeneous operators, AP.R

Abstract

In this project, we propose the study of quasilinear elliptic problems involving non-homogeneous operators, containing asymptotically linear terms. We intend to contribute to the literature in the area, proving results on the existence of solutions to problems involving a class of operators not yet addressed, through techniques involving the approximation by known quasilinear elliptic problems. As a specific case, we will report important existence results for problems involving the (1,q)-laplacian operator.