Special Session 10: Sharp inequalities and nonlinear differential equations

Sharp Hardy-Leray and related inequalities for vector fields with differential constraints

Futoshi Takahashi
Osaka Metropolitan University
Japan
Co-Author(s):    
Abstract:
In this talk, we show several weighted Hardy type inequalities for vector fields with curl-free conditions. We prove the sharpness and non-attainability of constants involved in the inequalities. This talk is based on the joint works with Naoki Hamamoto (Osaka Metropolitan University).