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EnglishIn this paper we prove that the CR-Yamabe equation on the Heisenberg group has infinitely many changing-sign solutions. By means of the Cayley transform we will set the problem on the sphere S2n+1; since the functional I associated with the equation does not satisfy the Palais-Smale compactness condition, we will find a suitable closed subspace X on which we can apply the minmax argument for I|X. We generalize the result to any compact contact manifold of K-contact type.
| Titolo: | Changing-sign solutions for the CR-Yamabe equation |
| Autore/i: | Ali Maalaoui; MARTINO, VITTORIO |
| Autore/i Unibo: | |
| Anno: | 2012 |
| Rivista: | |
| Abstract: | In this paper we prove that the CR-Yamabe equation on the Heisenberg group has infinitely many changing-sign solutions. By means of the Cayley transform we will set the problem on the sphere S2n+1; since the functional I associated with the equation does not satisfy the Palais-Smale compactness condition, we will find a suitable closed subspace X on which we can apply the minmax argument for I|X. We generalize the result to any compact contact manifold of K-contact type. |
| Data prodotto definitivo in UGOV: | 2014-06-19 18:06:31 |
| Data stato definitivo: | 2016-01-17T12:19:18Z |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
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http://hdl.handle.net/11585/301534
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