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Stability for the p-energy of the equator map of the ball into an ellipsoid

โœ Scribed by Ali Fardoun

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
355 KB
Volume
8
Category
Article
ISSN
0926-2245

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โœฆ Synopsis

Set Y = 1x1; the equator map u*(_u) = (x/r. 0) belongs to H'~~'(LP. E"'(h)) and is weakly p-harmonic if and only if p < m. We study the stability of this map for 2 < p < m; in particular. we establish a condition on p and b which is necessary and sufficient for the stability of II*.

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