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On the Brézis–Nirenberg Problem

✍ Scribed by M. Schechter; Wenming Zou


Publisher
Springer
Year
2010
Tongue
English
Weight
261 KB
Volume
197
Category
Article
ISSN
0003-9527

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The Brézis–Nirenberg Problem on S3
✍ Catherine Bandle; Rafael Benguria 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 172 KB

In this paper we study existence and nonexistence of solutions to the Brézis-Nirenberg problem for different values of l in geodesic spheres on S 3 . The picture differs considerably from the one in the Euclidean space. It is shown that large spheres containing the hemisphere have two different type