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.
Ali Maalaoui, Vittorio Martino (2012). Changing-sign solutions for the CR-Yamabe equation. DIFFERENTIAL AND INTEGRAL EQUATIONS, 25, 601-609.
Changing-sign solutions for the CR-Yamabe equation
MARTINO, VITTORIO
2012
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.File in questo prodotto:
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