Special Session 10: Sharp inequalities and nonlinear differential equations

Improvements and generalizations of two Hardy type inequalities and their applications to the Rellich type inequalities

Megumi Sano
Hiroshima University
Japan
Co-Author(s):    
Abstract:
I will give improvements and generalizations of both the classical Hardy inequality and the geometric Hardy inequality including the best constants. Next, I will mention about a relation between virtual minimizers of these Hardy type inequalities. Finally, we will generalize them to Rellich type inequalities and will mention about open problems in term of best constants of Rellich type inequalities.