The aim of this paper is to show the existence of metrics on the n-dimensional sphere, perturbations of the standard metric, for which the Yamabe problem possesses an unbounded sequence of solutions. The metrics that we find are merely differentiable. We also prove some new multiplicity results.

Non-Compactness and multiplicity results for the Yamabe problem on S^n / Berti, M.; Malchiodi, A.. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - 180:1(2001), pp. 210-241. [10.1006/jfan.2000.3699]

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

Berti, M.;
2001-01-01

Abstract

The aim of this paper is to show the existence of metrics on the n-dimensional sphere, perturbations of the standard metric, for which the Yamabe problem possesses an unbounded sequence of solutions. The metrics that we find are merely differentiable. We also prove some new multiplicity results.
2001
180
1
210
241
https://www.sciencedirect.com/science/article/pii/S0022123600936991?via%3Dihub
Berti, M.; Malchiodi, A.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/17283
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