1 citations · 1 across the 1 of their papers we have counts for
4 papers
A non-existence result for the -Minkowski problem
Christos Saroglou
We show that given a real number , a positive integer and a proper subspace of , the measure on the Euclidean sphere , which is concent…
On a non-homogeneous version of a problem of Firey
Christos Saroglou
We investigate the uniqueness for the Monge-Ampère type equation \begin{equation} \label{eq-abstract} det(u_{ij}+δ_{ij}u)_{i,j=1}^{n-1}=G(u),\ \ \ \ \ \ \ (*)\end{equation}on $S^{n…
Functions with isotropic sections
Ioannis Purnaras, Christos Saroglou
We prove a local version of a recently established theorem by Myroshnychenko, Ryabogin and the second named author. More specifically, we show that if , $g:\mathbb{S}^{n-1…
On some problems concerning symmetrization operators
Christos Saroglou
In [G. Bianchi, R. J. Gardner and P. Gronchi, Symmetrization in Geometry, Adv. Math., vol. 306 (2017), 51-88], a systematic study of symmetrization operators on convex sets and the…