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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…