Existence of unstable proper weakly r-harmonic maps is established in a rotationally symmetric family from the ball to the sphere for certain n, with extensions to ellipsoidal targets for biharmonic and triharmonic cases.
Maeta.k-harmonic maps into a Riemannian manifold with constant sectional cur- vature.Proc
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Existence and stability of weak critical points of $r$-energy functionals
Existence of unstable proper weakly r-harmonic maps is established in a rotationally symmetric family from the ball to the sphere for certain n, with extensions to ellipsoidal targets for biharmonic and triharmonic cases.