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.
@article{5975,
title = {Group Actions On The Sphere And Multiplicity Results For The Cr-Yamabe Equation},
journal = {Bruno Pini Mathematical Analysis Seminar},
year = {2015},
doi = {10.6092/issn.2240-2829/5975},
language = {EN},
url = {http://dml.mathdoc.fr/item/5975}
}
Martino, Vittorio. Group Actions On The Sphere And Multiplicity Results For The Cr-Yamabe Equation. Bruno Pini Mathematical Analysis Seminar, (2015), . doi : 10.6092/issn.2240-2829/5975. http://gdmltest.u-ga.fr/item/5975/