Nonexistence of Stable Exponentially Harmonic Maps from or into Compact Convex Hypersurfaces in Rm+1

In this paper, we study the nonexistence problems for stable exponentially harmonic map into or from compact convex hypersurface Mm suset of Rm+1, and show that every nonconstant exponentially harmonic map f, between Mm and any compact Riemannian manifold, is unstable if (4) holds.