On Struwe-Jeanjean-Toland monotonicity trick

Details On Struwe-Jeanjean-Toland monotonicity trick On Struwe-Jeanjean-Toland monotonicity trick

2010-10-26

arxiv.org/abs/1010.5410v1

Mathematics

Analysis of PDEs

14 pages

Scientific paper

The abstract version of Struwe's monotonicity trick developed by Jeanjean and
Jeanjean-Toland for functionals depending on a real parameter is improved,
under suitable assumptions. Besides, all the machinery is extended to the case
of continuous functionals on Banach spaces, in the framework of non-smooth
critical point theory.

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