Kazuhiro Kuwae

collaborators

2 papers

math.PR2023

(1,p)-Sobolev spaces based on strongly local Dirichlet forms

Kazuhiro Kuwae

In the framework of quasi-regular strongly local Dirichlet form $(E, D (E))$ on $L^{2} (X; m)$ admitting minimal $E$ -dominant measure $μ$ , we con…

math.DG2023

Liouville theorem for $V$ -harmonic maps under non-negative $(m, V)$ -Ricci curvature for non-positive $m$

Kazuhiro Kuwae, Songzi Li, Xiangdong Li +1

Let $V$ be a $C^{1}$ -vector field on an $n$ -dimensional complete Riemannian manifold $(M, g)$ . We prove a Liouville theorem for $V$ -harmonic maps satisfying various growth conditions…

(1,p)-Sobolev spaces based on strongly local Dirichlet forms

Liouville theorem for V-harmonic maps under non-negative (m,V)-Ricci curvature for non-positive m

Liouville theorem for $V$ -harmonic maps under non-negative $(m, V)$ -Ricci curvature for non-positive $m$