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Stability and uniqueness properties of the equator map from a ball into an ellipsoid

✍ Scribed by Alfred Baldes

Publisher
Springer-Verlag
Year
1984
Tongue
French
Weight
460 KB
Volume
185
Category
Article
ISSN
0025-5874

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Stability for the p-energy of the equato
Stability for the p-energy of the equator map of the ball into an ellipsoid
✍ Ali Fardoun πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 355 KB

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\*.