A Liouville Theorem for the Fractional Laplacian
Abstract
We extend the classical Liouville Theorem from Laplacian to the fractional Laplacian, that is, we prove Every α-harmonic function bounded either above or below in all of Rn must be constant.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.