Non local operators with non standard growth

• Grant number: 23/04515-7
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: November 01, 2023
• End date: October 31, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Olimpio Hiroshi Miyagaki
• Grantee: Sabri Bahrouni
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil

Abstract

This project aims to deepen the knowledge of nonlocal and nonstandard growth equations, and will launch a new dialogue for solving some interesting questions related to these topics. This research project constitutes an important step to understanding more complex nonlocal equations, where there is a nonlocal and non-standard growth operator instead of the Laplacian. The suitable operator to describe these kinds of phenomena is the fractional $g-$Laplacian. (AU)