The spherical p-harmonic eigenvalue problem in non-smooth domains
Résumé
We prove the existence of p-harmonic functions under the form u(r, σ) = r −β ω(σ) in any cone C S generated by a spherical domain S and vanishing on ∂C S. We prove the uniqueness of the exponent β and of the normalized function ω under a Lipschitz condition on S.
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