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Indice de Morse des applications $$p$$-harmoniques. (Morse index of $$p$$- harmonic maps). (French) Zbl 0769.58011
Summary: We investigate estimates and the calculation of the Morse index of $$p$$- harmonic maps with $$p \in ]2,+\infty[$$. More particularly, we deal with the identity map and maps from or to spheres. Our work extends results obtained for harmonic maps (case $$p = 2$$) by the first author in Compos. Math. (to appear) and Applications harmoniques de la sphère dans les variétés riemanniennes (preprint)] and by R. T. Smith in Proc. Am. Math. Soc. 47, No. 1, 229-236 (1975; Zbl 0303.58008).
Reviewer: Reviewer (Berlin)

##### MSC:
 58E20 Harmonic maps, etc. 31C12 Potential theory on Riemannian manifolds and other spaces 58J20 Index theory and related fixed-point theorems on manifolds
##### Keywords:
Morse index; $$p$$-harmonic maps