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/