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Non-compactness and multiplicity results for the Yamabe problem on S^n

✍ Scribed by Berti M., Malchiodi A.

Book ID
127403498
Year
1999
Tongue
English
Weight
447 KB
Category
Library

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πŸ“œ SIMILAR VOLUMES

Non-compactness and Multiplicity Results
Non-compactness and Multiplicity Results for the Yamabe Problem on Sn
✍ Massimiliano Berti; Andrea Malchiodi πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 257 KB

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

A Multiplicity Result for the Yamabe Pro
A Multiplicity Result for the Yamabe Problem on Sn
✍ Antonio Ambrosetti; Andrea Malchiodi πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 213 KB

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.