Liouville theorem for $\varphi$-$F$-symphonic map , $\varphi$-$F$-harmonic map and and $\varphi$-${\Phi }_{S,p,\epsilon }$ harmonic map with free boundary

Abstract

In this paper, we obtained Liouville theorem for $\varphi$-$F$-symphonic map , $\varphi$-$F$-harmonic map and $\varphi$-${\Phi }_{S,p,\epsilon }$ harmonic map with free boundary on metric measure space.