We will show that the CR-Yamabe equation has several families of infinitely many changing sign solutions, each of them having different symmetries. The problem is variational but it is not Palais-Smale: using different complex group actions on the sphere, we will find many closed subspaces on which we can apply the minmax argument.

GROUP ACTIONS ON THE SPHERE AND MULTIPLICITY RESULTS FOR THE CR-YAMABE EQUATION / Martino, Vittorio. - In: BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR. - ISSN 2240-2829. - ELETTRONICO. - 2015:(2015), pp. 128-137. [10.6092/issn.2240-2829/5975]

GROUP ACTIONS ON THE SPHERE AND MULTIPLICITY RESULTS FOR THE CR-YAMABE EQUATION

MARTINO, VITTORIO
2015

Abstract

We will show that the CR-Yamabe equation has several families of infinitely many changing sign solutions, each of them having different symmetries. The problem is variational but it is not Palais-Smale: using different complex group actions on the sphere, we will find many closed subspaces on which we can apply the minmax argument.
2015
GROUP ACTIONS ON THE SPHERE AND MULTIPLICITY RESULTS FOR THE CR-YAMABE EQUATION / Martino, Vittorio. - In: BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR. - ISSN 2240-2829. - ELETTRONICO. - 2015:(2015), pp. 128-137. [10.6092/issn.2240-2829/5975]
Martino, Vittorio
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/565482
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