1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AP2008★ 1 cited
The Best Constant, the Nonexistence of Extremal Functions and Related Results for an Improved Hardy-Sobolev Inequality
N. B. Zographopoulos
We present the best constant and the existence of extremal functions for an Improved Hardy-Sobolev inequality. We prove that, under a proper transformation, this inequality is equi…
math.AP2008
The semiflow of a reaction diffusion equation with a singular potential
Nikos I. Karachalios, Nikos B. Zographopoulos
We study the semiflow defined by a semilinear parabolic equation with a singular square potential . It is known that the Hardy-Poincaré inequal…
math.AP2006
Best Constants in the Hardy-Rellich Inequalities and Related Improvements
A. Tertikas, N. B. Zographopoulos
We consider Hardy-Rellich inequalities and discuss their possible improvement. The procedure is based on decomposition into spherical harmonics, where in addition various new inequ…