Search Results - "Kajántó, Sándor"
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Rellich inequalities via Riccati pairs on model space forms
Published in Journal of mathematical analysis and applications (15-03-2024)“…We present a simple method for proving Rellich inequalities on Riemannian manifolds with constant, non-positive sectional curvature. The method is built upon…”
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2
Saturation phenomena of a nonlocal eigenvalue problem: the Riemannian case
Published in Optimization (01-11-2024)“…In this paper we investigate the Riemannian extensibility of saturation phenomena treated first in the Euclidean framework by Brandolini et al. [Sharp…”
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3
A generic functional inequality and Riccati pairs: an alternative approach to Hardy-type inequalities
Published in Mathematische annalen (2024)“…We present a generic functional inequality on Riemannian manifolds, both in additive and multiplicative forms, that produces well known and genuinely new…”
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4
Unexpected Behaviour of Flag and S-Curvatures on the Interpolated Poincaré Metric
Published in The Journal of geometric analysis (01-10-2021)“…We endow the disc D = { ( x 1 , x 2 ) ∈ R 2 : x 1 2 + x 2 2 < 4 } with a Poincaré-type Randers metric F λ , λ ∈ [ 0 , 1 ] that ’linearly’ interpolates between…”
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Universality in the coarse-grained fluctuations for a class of linear dynamical systems
Published in Physica A (01-08-2018)“…The overdamped dynamics of linearly coupled elements are studied in the stochastic force-field of a reservoir. The stable equilibrium state is fixed by the…”
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6
On the Conditions of Fixed-Point Theorems Concerning F-Contractions
Published in Resultate der Mathematik (01-06-2018)“…We prove a fixed-point theorem that generalizes and simplifies a number of results in the theory of F -contractions. We show that all of the previously imposed…”
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On the Conditions of Fixed-Point Theorems Concerning $$\varvec{F}$$ F -Contractions
Published in Resultate der Mathematik (01-06-2018)Get full text
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8
Rellich inequalities via Riccati pairs on model space forms
Published 20-07-2023“…We present a simple method for proving Rellich inequalities on Riemannian manifolds with constant, non-positive sectional curvature. The method is built upon…”
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9
Sharp spectral gap estimates for higher-order operators on Cartan-Hadamard manifolds
Published 06-07-2023“…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…”
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10
A generic functional inequality and Riccati pairs: an alternative approach to Hardy-type inequalities
Published 17-03-2023“…We present a generic functional inequality on Riemannian manifolds, both in additive and multiplicative forms, that produces well known and genuinely new…”
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11
On possible generalisations of quasi-contractions
Published 23-03-2021“…This paper investigates whether some fixed point theorems for quasi-contractions on metric spaces introduced by \`Cir\`ic in [1] and generalised by Kumam et…”
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12
On the conditions of fixed-point theorems concerning $F$-contractions
Published 25-09-2017“…Results Math (2018) 73: 82 We prove a fixed-point theorem that generalises and simplifies a number of results in the theory of $F$-contractions. We show that…”
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A note on the paper "Contraction mappings in $b$-metric spaces" by Czerwik
Published 25-09-2017“…Acta Univ. Sapientiae Math. 10(1) 2018, 85-90 In this paper we correct an inaccuracy that appears in the proof of Theorem 1. in Czerwik's article "Contraction…”
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