2 papers
math.DG2024
Principal frequency of clamped plates on RCD(0,N) spaces: sharpness, rigidity and stability
Alexandru Kristály, Andrea Mondino
We study fine properties of the principal frequency of clamped plates in the (possibly singular) setting of metric measure spaces verifying the RCD(0,N) condition, i.e., infinitesi…
math.DG2019
Nonlinear spectrums of Finsler manifolds
Alexandru Kristály, Zhongmin Shen, Lixia Yuan +1
In this paper we investigate the spectral problem in Finsler geometry. Due to the nonlinearity of the Finsler-Laplacian operator, we introduce \textit{faithful dimension pairs} by…