Existence result for the CR-Yamabe equation
Martino, Vittorio
Bruno Pini Mathematical Analysis Seminar, (2013), / Harvested from Bruno Pini Mathematical Analysis Seminar
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In this note we will prove that the CR-Yamabe equation has infinitely many changing-sign solutions. The problem is variational but the associated functional does not satisfy the Palais-Smale compactness condition; by mean of a suitable group action we will define a subspace on which we can apply the minimax argument of Ambrosetti-Rabinowitz. The result solves a question left open from the classification results of positive solutions by Jerison-Lee in the '80s.

Publié le : 2013-01-01
DOI : https://doi.org/10.6092/issn.2240-2829/4017 
@article{4017,
     title = {Existence result for the CR-Yamabe equation},
     journal = {Bruno Pini Mathematical Analysis Seminar},
     year = {2013},
     doi = {10.6092/issn.2240-2829/4017},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/4017}
}

Martino, Vittorio. Existence result for the CR-Yamabe equation. Bruno Pini Mathematical Analysis Seminar,  (2013), . doi : 10.6092/issn.2240-2829/4017. http://gdmltest.u-ga.fr/item/4017/