Liouville theorem for $ \phi $-$F$-symphonic map , $ \phi $-$F$-harmonic map and and $ \phi $-$\Phi_{S, p, \varepsilon}$ harmonic map with free boundary

Abstract

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