Stability for ${\mathrm{\Phi }}_{S,F,H}$ harmonic map and ${\mathrm{\Phi }}_{T,F,H}$ harmonic map

In this paper, we mainly consider the stability of ${\mathrm{\Phi }}_{S,F,H}$ harmonic map and ${\mathrm{\Phi }}_{T,F,H}$ harmonic map from or into $\mathrm{\Phi }$-SSU manifold. We mainly consider the stability of ${\mathrm{\Phi }}_{S,F,H}$ harmonic map and ${\mathrm{\Phi }}_{T,F,H}$ harmonic map from or into compact convex hypersurface. We also give some Theorems to know when a manifold is ${\mathrm{\Phi }}_{S,F,H}$ -stable or ${\mathrm{\Phi }}_{S,F,H}$ -unstable.