Nabil Chems  Eddine, Ali Alami  Idrissi, 
    Existence and Uniqueness of Weak Solution for Quasilinear Problems with a
p(x)-Biharmonic Operator,
    Journal of Engineering and Applied Sciences,
    Volume 14,Issue 10,
    2019,
    Pages 3303-3309,
    ISSN 1816-949x,
    jeasci.2019.3303.3309,
    (https://makhillpublications.co/view-article.php?doi=jeasci.2019.3303.3309)
    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.
    Keywords: Weak solution;p(x)-biharmonic operator;variable exponent spaces;variational methods;browder
theorem;uniqueness