Group Actions On The Sphere And Multiplicity Results For The Cr-Yamabe Equation
DOI:
https://doi.org/10.6092/issn.2240-2829/5975Keywords:
Sub-elliptic PDE, Critical points theory, Minimax methodAbstract
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.References
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