Geodesic
Non-Uniqueness for the p-Harmonic Flow
Canadian mathematical bulletin, Tome 40 (1997) no. 2, pp. 174-182

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If f 0: Ω ⊂ Rm → Sn is a weakly p-harmonic map from a bounded smooth domain Ω in Rm (with 2 < p < m) into a sphere and if f 0 is not stationary p-harmonic, then there exist infinitely many weak solutions of the p-harmonic flow with initial and boundary data f 0, i.e., there are infinitely many global weak solutions f :Ω × R → ⊂ Sn of We also show that there exist non-stationary weakly (m − 1)-harmonic maps f0 : B m → S m−1.
DOI : 10.4153/CMB-1997-021-9
Mots-clés : 35K40, 35K55, 35K65 
Hungerbühler, Norbert. Non-Uniqueness for the p-Harmonic Flow. Canadian mathematical bulletin, Tome 40 (1997) no. 2, pp. 174-182. doi: 10.4153/CMB-1997-021-9
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     title = {Non-Uniqueness for the {p-Harmonic} {Flow}},
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     year = {1997},
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     number = {2},
     doi = {10.4153/CMB-1997-021-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1997-021-9/}
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