Journal of Engineering and Applied Sciences

Existence and Uniqueness of Weak Solution for Quasilinear Problems with a p(x)-Biharmonic Operator

Nabil Chems Eddine and Ali Alami Idrissi

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.