Search Results - "Kristály, Alexandru"

Sharp Sobolev inequalities on noncompact Riemannian manifolds with Ric≥0 via optimal transport theory by Kristály, Alexandru

“…In their seminal work, Cordero-Erausquin, Nazaret and Villani (Adv Math 182(2):307-332, 2004) proved sharp Sobolev inequalities in Euclidean spaces via Optimal…”
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Lord Rayleigh’s Conjecture for Vibrating Clamped Plates in Positively Curved Spaces by Kristály, Alexandru

“…We affirmatively solve the analogue of Lord Rayleigh’s conjecture on Riemannian manifolds with positive Ricci curvature for any clamped plates in 2 and 3…”
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Sharp isoperimetric and Sobolev inequalities in spaces with nonnegative Ricci curvature by Balogh, Zoltán M., Kristály, Alexandru

“…By using optimal mass transport theory we prove a sharp isoperimetric inequality in CD ( 0 , N ) metric measure spaces assuming an asymptotic volume growth at…”
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Nash-type equilibria on Riemannian manifolds: A variational approach by Kristály, Alexandru

“…Motivated by Nash equilibrium problems on ‘curved’ strategy sets, the concept of Nash–Stampacchia equilibrium points is introduced via variational inequalities…”
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Metric measure spaces supporting Gagliardo–Nirenberg inequalities: volume non-collapsing and rigidities by Kristály, Alexandru

“…Let ( M , d , m ) be a metric measure space which satisfies the Lott–Sturm–Villani curvature-dimension condition CD ( K , n ) for some K ≥ 0 and n ≥ 2 , and a…”
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On the geometry of irreversible metric-measure spaces: Convergence, stability and analytic aspects by Kristály, Alexandru, Zhao, Wei

“…The paper is devoted to the study of Gromov-Hausdorff convergence and stability of irreversible metric-measure spaces, both in the compact and noncompact…”
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Saturation phenomena of a nonlocal eigenvalue problem: the Riemannian case by Kajántó, Sándor, Kristály, Alexandru

“…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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A generic functional inequality and Riccati pairs: an alternative approach to Hardy-type inequalities by Kajántó, Sándor, Kristály, Alexandru, Peter, Ioan Radu, Zhao, Wei

“…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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Compact Sobolev embeddings on non-compact manifolds via orbit expansions of isometry groups by Farkas, Csaba, Kristály, Alexandru, Mester, Ágnes

“…Given a complete non-compact Riemannian manifold ( M ,  g ) with certain curvature restrictions, we introduce an expansion condition concerning a group of…”
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Nonlinear spectrums of Finsler manifolds by Kristály, Alexandru, Shen, Zhongmin, Yuan, Lixia, Zhao, Wei

“…In this paper we investigate the spectral problem in Finsler geometry. Due to the nonlinearity of the Finsler–Laplacian operator, we introduce faithful…”
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Sharp log-Sobolev inequalities in CD ( 0 , N ) spaces with applications by Balogh, Zoltán M., Kristály, Alexandru, Tripaldi, Francesca

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Sharp Morrey-Sobolev Inequalities on Complete Riemannian Manifolds by Kristály, Alexandru

“…Two Morrey-Sobolev inequalities (with support-bound and L 1 −bound, respectively) are investigated on complete Riemannian manifolds with their sharp constants…”
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Elliptic differential inclusions on non-compact Riemannian manifolds by Kristály, Alexandru, Mezei, Ildikó I., Szilák, Károly

“…We investigate a large class of elliptic differential inclusions on non-compact complete Riemannian manifolds which involves the Laplace–Beltrami operator and…”
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Unexpected Behaviour of Flag and S-Curvatures on the Interpolated Poincaré Metric by Kajántó, Sándor, Kristály, Alexandru

“…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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Bifurcation effects in sublinear elliptic problems on compact Riemannian manifolds by Kristály, Alexandru

“…We prove a bifurcation result for a perturbed sublinear elliptic problem defined on a compact Riemannian manifold without boundary. This result is then applied…”
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A Sharp Sobolev Interpolation Inequality on Finsler Manifolds by Kristály, Alexandru

“…In this paper we study a sharp Sobolev interpolation inequality on Finsler manifolds. We show that Minkowski spaces represent the optimal framework for the…”
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Elliptic problems on the ball endowed with Funk-type metrics by Kristály, Alexandru, Rudas, Imre J.

“…We study Sobolev spaces on the n-dimensional unit ball B super(n)(1) endowed with a parameter-depending Finsler metric F sub(a), a [setmembership] [0, 1],…”
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Geometric inequalities on Heisenberg groups by Balogh, Zoltán M., Kristály, Alexandru, Sipos, Kinga

“…We establish geometric inequalities in the sub-Riemannian setting of the Heisenberg group H n . Our results include a natural sub-Riemannian version of the…”
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Singular Poisson equations on Finsler–Hadamard manifolds by Farkas, Csaba, Kristály, Alexandru, Varga, Csaba

“…In the first part of the paper we study the reflexivity of Sobolev spaces on non-compact and not necessarily reversible Finsler manifolds. Then, by using…”
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Optimization methods and algorithms by Biró, Péter, Bozóki, Sándor, Király, Tamás, Kristály, Alexandru

“…Recent results of three areas, pickup and delivery, optimal mass transportation, matching under preferences are highlighted. The topics themselves have been…”
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