2 papers
math.AP2022
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…
math.DG2022
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…