1 citations · 1 across the 6 of their papers we have counts for
6 papers
Global branches of solutions for a class of non uniformly fully nonlinear elliptic equations
N. B. Zographopoulos
We consider singular perturbations of eigenvalue problems. We prove that to these problems correspond simple eigenvalues and we study their asymptotic behavior. As a result, we pro…
Orbital Stability for the Schrödinger Operator Involving Inverse Square Potential
Georgios P. Trachanas, Nikolaos B. Zographopoulos
In this paper we prove the existence of orbitally stable standing waves for the critical Schrödinger operator, involving potential of the form $\left(\frac{N-2}{2}\right)^2|x|^{-2}…
Functional aspects of the Hardy inequality. Appearance of a hidden energy
J. L. Vázquez, N. B. Zographopoulos
Starting with a functional difficulty appeared in the paper \cite{vz00} by Vázquez and Zuazua, we obtain new insights into the Hardy Inequality and the evolution problem associated…
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…
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…
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…