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Stabilities of $$p$$-harmonic maps. (Chinese. English summary) Zbl 1150.53349
Summary: This paper investigates the stability of $$p$$-harmonic maps from or into submanifolds of the Euclidean space respectively, and generalizes the results of Y. L. Xin [Duke Math. J. 47, 609–613 (1980; Zbl 0513.58019)], P. F. Leung [On the stability of harmonic maps, Harmonic maps, Proc. New Orleans, Springer-Verlag Lect. Notes Math. 949, 122–129 (1982; Zbl 0513.58020)] and O. Yoshihiro [Tôhoku Math. J. II. Ser. 38, 259–267 (1988; Zbl 0585.58012)].
##### MSC:
 53C43 Differential geometric aspects of harmonic maps 58E20 Harmonic maps, etc. 37C75 Stability theory for smooth dynamical systems
##### Keywords:
$$p$$-harmonic map; principal curvature; stability