Author:
Cheung Leung-Fu,Leung Pui-Fai
Abstract
For each p ∈ [2, ∞)a p-harmonic map f:Mm→Nn is a critical point of the p-energy functionalwhere Mm is a compact and Nn a complete Riemannian manifold of dimensions m and n respectively. In a recent paper [3], Takeuchi has proved that for a certain class of simply-connected δ-pinched Nn and certain type of hypersurface Nn in ℝn+1, the only stable p-harmonic maps for any compact Mm are the constant maps. Our purpose in this note is to establish the following theorem which complements Takeuchi's results.
Publisher
Cambridge University Press (CUP)
Reference3 articles.
1. Existance and regularity of functions which minimize certain energies in homotopy classes of mappings;Duzaar;Asymp. Anal.,1991
2. A Note on Stable Harmonic Maps
3. Stability and Liouville theorems of P-harmonic maps
Cited by
11 articles.
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