Nonexistence of stable exponentially harmonic maps from or into compact convex hypersurfaces in $Bbb{R}^{m+1}$
Nonexistence of stable exponentially harmonic maps from or into compact convex hypersurfaces in $Bbb{R}^{m+1}$
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.
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- [1] Ara, M.: Geometry of F -harmonic maps. Kodai Math. J. 22, 243–263 (1999).
- [2] Eells, J., Lemaire, L.: Some properties of exponentially harmonic maps. Proc. Banach Center Pub. 27, 129–136 (1992).
- [3] Koh, S. E.: A nonexistence theorem for stable exponentially harmonic maps. Bull. Korean Math. Soc. 32(2), 211–214 (1995).
- [4] Leung, P. F.: On the stability of harmonic maps. Lecture Notes in Math. 949, 122–129 (1982).
- [5] Takeuchi, H.: Stability and Liouville theorems of p-harmonic maps. Japan. J. Math. 17(2), 317–332 (1991).
- [6] Xin, Y. L.: Some results on stable harmonic maps. Duke Math. J. 47(3), 609–613 (1980).
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
Sayıdaki Diğer Makaleler
Basic properties and multipliers space on $L^1(G)cap L(P,q) (G)$ spaces
Diametral Dimension and Köthe Spaces
Posner's Second theorem and an annihilator condition with generalized derivations
Proximinality in $L^1 (I, X )$
Basic Properties and Multipliers Space on L1(G)\cap L(p,q)(G) Spaces
Metric Trees, Hyperconvex Hulls and Extensions
Posner´s Second Theorem and an Annihilator Condition with Generalized Derivations