On the p-biharmonic operator with critical Sobolev exponent

Abdelouahed El Khalil, My Driss Morchid Alaoui, and Abdelfattah Touzani. "On the p-biharmonic operator with critical Sobolev exponent." Applicationes Mathematicae 41.2-3 (2014): 229-237. <http://eudml.org/doc/280016>.

@article{AbdelouahedElKhalil2014,
abstract = {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.},
author = {Abdelouahed El Khalil, My Driss Morchid Alaoui, Abdelfattah Touzani},
journal = {Applicationes Mathematicae},
keywords = {-biharmonic operator; nonlinear eigenvalue problem; duality mapping; Palais-Smale condition; critical Sobolev exponent},
language = {eng},
number = {2-3},
pages = {229-237},
title = {On the p-biharmonic operator with critical Sobolev exponent},
url = {http://eudml.org/doc/280016},
volume = {41},
year = {2014},
}

TY - JOUR
AU - Abdelouahed El Khalil
AU - My Driss Morchid Alaoui
AU - Abdelfattah Touzani
TI - On the p-biharmonic operator with critical Sobolev exponent
JO - Applicationes Mathematicae
PY - 2014
VL - 41
IS - 2-3
SP - 229
EP - 237
AB - 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.
LA - eng
KW - -biharmonic operator; nonlinear eigenvalue problem; duality mapping; Palais-Smale condition; critical Sobolev exponent
UR - http://eudml.org/doc/280016
ER -