On the Struwe-Jeanjean-Toland monotonicity trick

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3 Citazioni (Scopus)

Abstract

The abstract version of Struwe’s monotonicity trick developed by Jeanjean and Toland for functionals depending on a real parameter is strengthened in the sense that it provides, for almost every value of the parameter, the existence of a bounded almost symmetric Palais–Smale sequence at the mountain-pass level whenever a mild symmetry assumption is set on the energy functional. In addition, the whole theory is extended to the case of continuous functionals on Banach spaces, in the framework of non-smooth critical point theory.
Lingua originaleEnglish
pagine (da-a)155-169
Numero di pagine15
RivistaPROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS
Volume142
Stato di pubblicazionePubblicato - 2012

Keywords

  • Monotonicity trick

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