A Remark on ∞-harmonic Functions on Riemannian Manifolds
Date
1995-06-15
Authors
Nakauchi, Nobumitsu
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
In this note we prove an equality for infinity-harmonic functions on Riemannian manifolds. As a corollary, there is no non-constant infinity-harmonic function on positively (or negatively) curved manifolds.
Description
Keywords
Infinity-harmonic functions, Infinity-Laplacian
Citation
Nakauchi, N. (1995). A remark on ∞-harmonic functions on Riemannian manifolds. <i>Electronic Journal of Differential Equations, 1995</i>(07), pp. 1-10.
Rights
Attribution 4.0 International