2 citations · 2 across the 4 of their papers we have counts for
4 papers
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…
Weighted Gagliardo-Nirenberg inequalities via Optimal Transport Theory and Applications
Zoltán M. Balogh, Sebastiano Don, Alexandru Kristály
We prove Gagliardo-Nirenberg inequalities with three weights -- verifying a joint concavity condition -- on open convex cones of . If the weights are equal to each oth…
Elliptic differential inclusions on non-compact Riemannian manifolds
Alexandru Kristály, Ildikó I. Mezei, Károly Szilák
We investigate a large class of elliptic differential inclusions on non-compact complete Riemannian manifolds which involves the Laplace-Beltrami operator and a Hardy-type singular…
Lord Rayleigh's Conjecture for Vibrating Clamped Plates in Positively Curved Spaces
Alexandru Kristály
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 dimensions, and for suffic…