@article{MAKHILLJEAS2019141017846, title = {Existence and Uniqueness of Weak Solution for Quasilinear Problems with a p(x)-Biharmonic Operator}, journal = {Journal of Engineering and Applied Sciences}, volume = {14}, number = {10}, pages = {3303-3309}, year = {2019}, issn = {1816-949x}, doi = {jeasci.2019.3303.3309}, url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2019.3303.3309}, author = {Nabil Chems and}, keywords = {Weak solution,p(x)-biharmonic operator,variable exponent spaces,variational methods,browder theorem,uniqueness}, abstract = {In this study, we show the existence and uniqueness of weak solution of a problem which involves the p(x)-biharmonic operator with some different bound-ary conditions. The proof of the result is made by Browder theorem and the theory of variable exponent Sobolev spaces.} }