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Proportionality of Components, Liouville Theorems and a Priori Estimates for Noncooperative Elliptic Systems

✍ Scribed by Montaru, Alexandre; Sirakov, Boyan; Souplet, Philippe


Book ID
121554621
Publisher
Springer
Year
2014
Tongue
English
Weight
444 KB
Volume
213
Category
Article
ISSN
0003-9527

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πŸ“œ SIMILAR VOLUMES


Optimal conditions for a priori estimate
✍ Li Yuxiang πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 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 ∞ -regularity conditions for the three well-known types of weak solutions: H 1 0 -solutions, L 1 -solutions and L 1 δ -solutions. T