24 citations · 57 across the 10 of their papers we have counts for
8 papers · 1 filter
Anisotropic Improved Leray-Trudinger Inequality
Giuseppina Di Blasio, Giovanni Pisante, Georgios Psaradakis
We establish a Leray- Trudinger Type inequality in the anisotropic setting induced by a strongly convex Finsler norm F. The result generalizes classical exponential integrability i…
The optimal Leray-Trudinger inequality
Giuseppina Di Blasio, Giovanni Pisante, Georgios Psaradakis
We fill the gap left open in \cite{MT}, regarding the minimum exponent on the logarithmic correction weight so that the Leray-Trudinger inequality (see \cite{PsSp}) holds. Instead…
On weighted -Hardy inequality on domains in
Divya Goel, Yehuda Pinchover, Georgios Psaradakis
We consider weighted -Hardy inequalities involving the distance to the boundary of a domain in the -dimensional Euclidean space with nonempty boundary. Using criticality th…
Optimal non-homogeneous improvements for the series expansion of Hardy's inequality
Konstantinos T. Gkikas, Georgios Psaradakis
We consider the series expansion of the -Hardy inequality of \cite{BFT2}, in the particular case where the distance is taken from an interior point of a bounded domain in $\ma…
On positive solutions of the -Laplacian with a potential in Morrey space
Yehuda Pinchover, Georgios Psaradakis
We study qualitative positivity properties of quasilinear equations of the form \[ Q'_{A,p,V}[v] := -\mathrm{div}(|\nabla v|_A^{p-2}A(x)\nabla v) + V(x)|v|^{p-2}v =0 \qquad x\inΩ,…
An optimal Hardy-Morrey inequality
Georgios Psaradakis
In this work we improve the sharp Hardy inequality in the case by adding an optimal weighted Hoelder semi-norm. To achieve this we first obtain a local improvement. We also o…
Hardy inequalities with weights
Georgios Psaradakis
We prove sharp homogeneous improvements to weighted Hardy inequalities involving distance from the boundary. In the case of a smooth domain, we obtain lower and upper estimat…
Hardy Inequalities in General Domains
Georgios Psaradakis
Key Words: Hardy inequalities, Sobolev inequalities, Morrey inequality, distance function, mean curvature, best constants, semi-concavity, sets with positive reach, mean convex set…