In this paper we consider the functional whose critical points are solutions of the fractional CR Yamabe type equation on the sphere. We firstly study the behaviour of the Palais–Smale sequences characterizing the bubbling phenomena and therefore we prove a multiplicity type result by showing the existence of infinitely many solutions to the related equation.
Palais–Smale sequences for the fractional CR Yamabe functional and multiplicity results / Guidi, Chiara*; Maalaoui, Ali; Martino, Vittorio. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - STAMPA. - 57:6(2018), pp. 152.1-152.27. [10.1007/s00526-018-1423-x]
Palais–Smale sequences for the fractional CR Yamabe functional and multiplicity results
Guidi, Chiara;Maalaoui, Ali;Martino, Vittorio
2018
Abstract
In this paper we consider the functional whose critical points are solutions of the fractional CR Yamabe type equation on the sphere. We firstly study the behaviour of the Palais–Smale sequences characterizing the bubbling phenomena and therefore we prove a multiplicity type result by showing the existence of infinitely many solutions to the related equation.| File | Dimensione | Formato | |
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Palais–Smale sequences for the fractional CR Yamabe functional and multiplicity results-postprint.pdf
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