On Struwe-Jeanjean-Toland monotonicity trick

2010/10/26 by Marco Squassina, Squassina, Marco
Mathematics · #35A15 #35B06 #35J62 #58E05 #74G65 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35A15 #msc:35B06 #msc:35J62 #msc:58E05 #msc:74G65

paper · pdf · doi:10.48550/arxiv.1010.5410

14 pages

arxiv created 2010/10/26 · arxiv updated 2010/10/27

Abstract

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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