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Extremal functions for the Caffarelli–Kohn–Nirenberg inequalities: A simple proof of the symmetry

✍ Scribed by Vincent Bouchez; Michel Willem

Book ID
108178212
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
140 KB
Volume
352
Category
Article
ISSN
0022-247X

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A new proof of the Caffarelli-Kohn-Niren
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✍ Fanghua Lin 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 220 KB 👁 2 views

Here we give a self-contained new proof of the partial regularity theorems for solutions of incompressible Navier-Stokes equations in three spatial dimensions. These results were originally due to Scheffer and Caffarelli, Kohn, and Nirenberg. Our proof is much more direct and simpler.