We study the existence of solutions for a p-biharmonic problem with a critical Sobolev exponent and Navier boundary conditions, using variational arguments. We establish the existence of a precise interval of parameters for which our problem admits a nontrivial solution.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am41-2-10, author = {Abdelouahed El Khalil and My Driss Morchid Alaoui and Abdelfattah Touzani}, title = {On the p-biharmonic operator with critical Sobolev exponent}, journal = {Applicationes Mathematicae}, volume = {41}, year = {2014}, pages = {229-237}, zbl = {1304.35465}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am41-2-10} }
Abdelouahed El Khalil; My Driss Morchid Alaoui; Abdelfattah Touzani. On the p-biharmonic operator with critical Sobolev exponent. Applicationes Mathematicae, Tome 41 (2014) pp. 229-237. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am41-2-10/