2006/09/14 by Yanyan Li, Li, YanYan
Physics and Astronomy · #35J69 #58J05 #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.math/0609404
openalex publication_date 2006/09/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give exposition of a Liouville theorem established in \citeLi3 which is a novel extension of the classical Liouville theorem for harmonic functions. To illustrate some ideas of the proof of the Liouville theorem, we present a new proof of the classical Liouville theorem for harmonic functions. Applications of the Liouville theorem, as well as that of earlier ones in \citeLi2, can be found in \citeLi3, Li4 and \citeW.