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A Multiplicity Result for the Yamabe Problem on Sn

✍ Scribed by Antonio Ambrosetti; Andrea Malchiodi

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
213 KB
Volume
168
Category
Article
ISSN
0022-1236

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✦ Synopsis

We prove a multiplicity result for the Yamabe problem on the manifold (S, g~), where g~is a perturbation of the standard metric g 0 of S n . Solutions are found by variational methods via an abstract perturbation result.

πŸ“œ SIMILAR VOLUMES

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

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