Azioni di Gruppo sulla Sfera e Risultati di Molteplicità per l’Equazione di Yamabe CR
DOI:
https://doi.org/10.6092/issn.2240-2829/5975Parole chiave:
Sub-elliptic PDE, Critical points theory, Minimax methodAbstract
Proveremo che l’equazione di Yamabe CR ammette diverse famiglie di (infinite) soluzioni a segno non costante, ognuna di esse con una distinta simmetria. Il problema è variazionale, ma non Palais-Smale: usando distinte azioni di gruppo sulla sfera, troveremo diversi sottospazi chiusi su cui poter applicare l’argomento di minmax.Riferimenti bibliografici
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