Nonexistence of stable exponentially harmonic maps from or into compact convex hypersurfaces in $Bbb{R}^{m+1}$

Abstract

In this paper, we study the nonexistence problems for stable exponentially har monic map into or from compact convex hypersurface $M^msubsetBbb{R}^{m+1}$, and show thatevery nonconstant exponentially harmonic map f , between $M^m$ and compact Riemannian manifold, is unstable if (4) holds.