On p-harmonic self-maps of spheres

In this manuscript we study rotationally p-harmonic maps between spheres. We prove that for (p) given, there exist infinitely many p-harmonic self-maps of S-m for each m ? N with p < m < 2 + p + 2vp. In the case of the identity map of S-m we explicitly determine the spectrum of the corresponding Jacobi operator and show that for p > m, the identity map of S-m is equivariantly stable when interpreted as a p-harmonic self-map of S-m.