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.
Martino, V. (2015). GROUP ACTIONS ON THE SPHERE AND MULTIPLICITY RESULTS FOR THE CR-YAMABE EQUATION. BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR, 2015, 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.File in questo prodotto:
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