Some results on stable p-harmonic maps
Glasgow mathematical journal, Tome 36 (1994) no. 1, pp. 77-80
Voir la notice de l'article provenant de la source Cambridge University Press
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.
Cheung, Leung-Fu; Leung, Pui-Fai. Some results on stable p-harmonic maps. Glasgow mathematical journal, Tome 36 (1994) no. 1, pp. 77-80. doi: 10.1017/S0017089500030561
@article{10_1017_S0017089500030561,
author = {Cheung, Leung-Fu and Leung, Pui-Fai},
title = {Some results on stable p-harmonic maps},
journal = {Glasgow mathematical journal},
pages = {77--80},
year = {1994},
volume = {36},
number = {1},
doi = {10.1017/S0017089500030561},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500030561/}
}
TY - JOUR AU - Cheung, Leung-Fu AU - Leung, Pui-Fai TI - Some results on stable p-harmonic maps JO - Glasgow mathematical journal PY - 1994 SP - 77 EP - 80 VL - 36 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500030561/ DO - 10.1017/S0017089500030561 ID - 10_1017_S0017089500030561 ER -
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[3] 3.Takeuchi, H., Stability and Liouville theorems of p-harmonic maps, Japan J. Math. 17 (1991), 317–332. Google Scholar | DOI
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