1 citations · 2 across the 6 of their papers we have counts for
6 papers
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…
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…
Rellich inequalities via Riccati pairs on model space forms
Sándor Kajántó
We present a simple method for proving Rellich inequalities on Riemannian manifolds with constant, non-positive sectional curvature. The method is built upon simple convexity argum…
Sharp spectral gap estimates for higher-order operators on Cartan-Hadamard manifolds
Csaba Farkas, Sándor Kajántó, Alexandru Kristály
The goal of this paper is to provide sharp spectral gap estimates for problems involving higher-order operators (including both the clamped and buckling plate problems) on Cartan-H…
A generic functional inequality and Riccati pairs: an alternative approach to Hardy-type inequalities
Sándor Kajántó, Alexandru Kristály, Ioan Radu Peter +1
We present a generic functional inequality on Riemannian manifolds, both in additive and multiplicative forms, that produces well known and genuinely new Hardy-type inequalities. F…
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…