Alexandru Kristály

Obuda University — Hungary

Mathematics · Physical Sciences

22h-index1.5kcitations197works1.52yr avg
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Research Topics

Nonlinear Partial Differential Equations(107), Geometric Analysis and Curvature Flows(72), Advanced Mathematical Modeling in Engineering(65), Advanced Differential Geometry Research(41), Nonlinear Differential Equations Analysis(28)

Publications196 total

Sharp Hardy Inequalities Involving Distance Functions From Submanifolds of Riemannian Manifolds
Journal of Geometric Analysis·2025
Analysis on asymmetric metric measure spaces: $q$-heat flow, $q$-Laplacian and Sobolev spaces
arXiv (Cornell University)·2025Open Access
Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities
arXiv (Cornell University)·2025Open Access
Principal frequency of clamped plates on RCD(0,N)${\sf RCD}(0,N)$ spaces: Sharpness, rigidity, and stability
Proceedings of the London Mathematical Society·2025· 1 citedOpen Access
Weighted Gagliardo–Nirenberg Inequalities via Optimal Transport Theory and Applications
SIAM Journal on Mathematical Analysis·2025
Hypercontractivity of the heat flow on ${\sf RCD}(0,N)$ spaces: sharpness and rigidities
arXiv (Cornell University)·2025Open Access
Volume growths versus Sobolev inequalities
arXiv (Cornell University)·2025Open Access
$L^p$-Sobolev inequalities on minimal submanifolds
arXiv (Cornell University)·2024Open Access
Logarithmic-Sobolev inequalities on non-compact Euclidean submanifolds: sharpness and rigidity
arXiv (Cornell University)·2024Open Access
Failure of famous functional inequalities on Finsler manifolds: the influence of $S$-curvature
arXiv (Cornell University)·2024Open Access
Principal frequency of clamped plates on RCD(0,N) spaces: sharpness, rigidity and stability
arXiv (Cornell University)·2024Open Access
Sharp Sobolev inequalities on noncompact Riemannian manifolds with $$\textsf{Ric}\ge 0$$ via optimal transport theory
Calculus of Variations and Partial Differential Equations·2024· 4 citedOpen Access
Sharp weighted log-Sobolev inequalities: Characterization of equality cases and applications
Transactions of the American Mathematical Society·2024· 3 cited
A generic functional inequality and Riccati pairs: an alternative approach to Hardy-type inequalities
Mathematische Annalen·2024· 9 citedOpen Access
Sharp spectral gap estimates for higher-order operators on Cartan–Hadamard manifolds
Communications in Contemporary Mathematics·2024· 3 cited
Optimization methods and algorithms
Central European Journal of Operations Research·2024· 5 citedOpen Access
Sharp Hardy inequalities involving distance functions from submanifolds of Riemannian manifolds
arXiv (Cornell University)·2024· 1 citedOpen Access
Sharp log-Sobolev inequalities in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"> <mml:mrow> <mml:mi mathvariant="sans-serif">CD</mml:mi> </mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mi>N</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:math> spaces with applications
Journal of Functional Analysis·2023· 7 cited
Saturation phenomena of a nonlocal eigenvalue problem: the Riemannian case
Optimization·2023
Sharp Sobolev inequalities on noncompact Riemannian manifolds with ${\sf Ric}\geq 0$ via Optimal Transport theory
arXiv (Cornell University)·2023Open Access
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Frequent Co-authors

Csaba Varga(10), Vicenţiu D. Rădulescu(6), Francesca Faraci(4), Zoltán M. Balogh(3), Mihai Mihăilescu(3), Csaba Farkas(3), Dušan Repovš(2), Stepan Tersian(2), Gheorghe Moroşanu(2), L. Kozma(2), Wei Zhao(2), Csaba Gyorgy Varga(1), Hannelore Lisei(1), Michael Ε. Filippakis(1), Nikolaos S. Papageorgiou(1), Shin-ichi Ohta(1), Wacław Marzantowicz(1), Chong Li(1), Genaro López-Acedo(1), Adriana Nicolae(1)