Special Session 80: Functional inequalities and PDEs
Liouville theorems for left-invariant PDEs via right-invariant derivatives
Alessia Kogoj
University of Urbino Italy
Co-Author(s):
Abstract:
It is well known that a harmonic function with finite energy must be constant. We show how this result can be extended to partial differential operators that are left-invariant with respect to a Lie group law on $\mathbb{R}^n$.