Variational studies for the nonlinear logarithmic Schrodinger equations

• Grant number: 22/09273-9
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: July 12, 2023
• End date: August 11, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Olimpio Hiroshi Miyagaki
• Grantee: Olimpio Hiroshi Miyagaki
• Visiting researcher: Chao Ji
• Visiting researcher institution: East China University of Science and Technology (ECUST), China
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil

Abstract

The nonlinear logarithmic Schrodinger equations have important application backgrounds and are frontier problems in the field of nonlinear analysis, which have received extensive attention in recent years. In this proposal, we shall propose to mainly study the logarithmic nonlinear Schrodinger equations including fractional Laplacian cases. Through the research of these projects, we expect to identify new phenomena in the models and to develop some new research methods which would be useful for other related nonlinear PDEs and benefit a greater scientific research community. (AU)