The Brézis–Nirenberg Problem on S3
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Catherine Bandle; Rafael Benguria
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Article
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2002
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Elsevier Science
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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