Some general multiplicity results for critical points of parameterized functionals on reflexive Banach spaces are established. In particular, one of them improves some aspects of a recent result by B. Ricceri. Applications to boundary value problems are also given.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm213-1-4,
author = {Giovanni Anello},
title = {On the multiplicity of critical points for parameterized functionals on reflexive Banach spaces},
journal = {Studia Mathematica},
volume = {209},
year = {2012},
pages = {49-60},
zbl = {1282.47077},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm213-1-4}
}
Giovanni Anello. On the multiplicity of critical points for parameterized functionals on reflexive Banach spaces. Studia Mathematica, Tome 209 (2012) pp. 49-60. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm213-1-4/