1 citations · 1 across the 3 of their papers we have counts for
5 papers
Caffarelli-Kohn-Nirenberg identities, inequalities and their stabilities
Cristian Cazacu, Joshua Flynn, Nguyen Lam +1
We set up a one-parameter family of inequalities that contains both the Hardy inequalities (when the parameter is 1) and the Caffarelli-Kohn-Nirenberg inequalities (when the parame…
Best constants in bipolar L^p-Hardy-type Inequalities
Cristian Cazacu, Teodor Rugină
In this work we prove sharp versions of multipolar Hardy inequalities in the case of a bipolar potential and , which were first developed in the case by Cazacu…
Sharp second order uncertainty principles
Cristian Cazacu, Joshua Flynn, Nguyen Lam
We study sharp second order inequalities of Caffarelli-Kohn-Nirenberg type in the euclidian space , where denotes the dimension. This analysis is equivalent to…
The method of super-solutions in Hardy and Rellich type inequalities in the setting: an overview of well-known results and short proofs
Cristian Cazacu
In this survey we give a compact presentation of well-known functional inequalities of Hardy and Rellich type in the setting. In addition, we give some insights of their proo…
A new proof of the Hardy-Rellich inequality in any dimension
Cristian Cazacu
The Hardy-Rellich inequality in the whole space with the best constant was firstly proved by Tertikas and Zographopoulos in Adv. Math. (2007) in higher dimensions . Then i…