The existence of at least three weak solutions is established for a class of quasilinear elliptic equations involving the p(x)-biharmonic operator with Navier boundary value conditions. The proof is mainly based on a three critical points theorem due to B. Ricceri [Nonlinear Anal. 70 (2009), 3084-3089].
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap109-1-4, author = {Honghui Yin and Mei Xu}, title = {Existence of three solutions for a Navier boundary value problem involving the p(x)-biharmonic operator}, journal = {Annales Polonici Mathematici}, volume = {107}, year = {2013}, pages = {47-58}, zbl = {1288.35247}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap109-1-4} }
Honghui Yin; Mei Xu. Existence of three solutions for a Navier boundary value problem involving the p(x)-biharmonic operator. Annales Polonici Mathematici, Tome 107 (2013) pp. 47-58. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap109-1-4/