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Optimal conditions for -regularity and a priori estimates for semilinear elliptic systems

โœ Scribed by Yuxiang Li


Book ID
108178338
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
335 KB
Volume
351
Category
Article
ISSN
0022-247X

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Optimal conditions for a priori estimate
โœ Li Yuxiang ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 889 KB

In this paper, we present a new bootstrap procedure for elliptic systems with two unknown functions. When combined with the L p -L q -estimates, it yields the optimal L โˆž -regularity conditions for the three well-known types of weak solutions: H 1 0 -solutions, L 1 -solutions and L 1 ฮด -solutions. T