A recent multiplicity result by Ricceri, stated for equations in Hilbert spaces, is extended to a wider class of Banach spaces. Applications to nonlinear boundary value problems involving the p-Laplacian are presented.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm172-3-5,
author = {Francesca Faraci and Antonio Iannizzotto},
title = {An extension of a multiplicity theorem by Ricceri with an application to a class of quasilinear equations},
journal = {Studia Mathematica},
volume = {173},
year = {2006},
pages = {275-287},
zbl = {1242.35112},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm172-3-5}
}
Francesca Faraci; Antonio Iannizzotto. An extension of a multiplicity theorem by Ricceri with an application to a class of quasilinear equations. Studia Mathematica, Tome 173 (2006) pp. 275-287. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm172-3-5/