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On the Yamabe Problem concerning the compact locally conformally flat manifolds

โœ Scribed by O Gil-Medrano


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
501 KB
Volume
66
Category
Article
ISSN
0022-1236

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Non-compactness and Multiplicity Results
โœ Massimiliano Berti; Andrea Malchiodi ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 257 KB

The aim of this paper is to show the existence of metrics gร„ = on S n , where gร„ = is a perturbation of the standard metric gร„ 0 , for which the Yamabe problem possesses a sequence of solutions unbounded in L (S n ). The metrics gร„ = that we find are of class C k on S n with (k n&3 4 ). We also prov