3 papers
math.AP2025
Higher-order Sobolev and Rellich inequalities via iterated Talenti's principle
Csaba Farkas, Sándor Kajántó
In this paper we establish higher-order Sobolev and Rellich-type inequalities on non-compact Riemannian manifolds supporting an isoperimetric inequality. We highlight two notable s…
math.AP2025
Sharp Hardy and spectral gap inequalities on special irreversible Finsler manifolds
Sándor Kajántó
The sharpness of various Hardy-type inequalities is well-understood in the reversible Finsler setting; while infinite reversibility implies the failure of these functional inequali…
math.CA2021
On possible generalisations of quasi-contractions
Tünde Cseh, Sándor Kajántó, Andor Lukács
This paper investigates whether some fixed point theorems for quasi-contractions on metric spaces introduced by Cirìc in [1] and generalised by Kumam et al. in [2] can be improved…