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On the singular set of minimizers of(p(x))-energies

โœ Scribed by Atsushi Tachikawa

Book ID
120914105
Publisher
Springer
Year
2013
Tongue
English
Weight
356 KB
Volume
50
Category
Article
ISSN
0944-2669

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๐Ÿ“œ SIMILAR VOLUMES

Singularities of p-energy minimizing map
Singularities of p-energy minimizing maps
โœ Robert Hardt; Fanghua Lin; Changyou Wang ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 350 KB

Suppose โ„ฆ is a Lipschitz domain in R n , n โ‰ฅ 2, g : โˆ‚โ„ฆ โ†’ S n-1 is a Lipschitz map of degree d, and, for each p โˆˆ [n -1, n), u p : โ„ฆ โ†’ S n-1 is a p-energy minimizing map with u p | โˆ‚โ„ฆ = g. Then, for d = 0, u p necessarily has singularities, and Here we discuss the behavior of u p and its singulariti