Existence and uniqueness of solution for p(x)-Laplacian problems

Mostafa Allaoui; Abdelrachid El Amrouss; Anass Ourraoui

doi:10.5269/bspm.v33i1.21836

Existence and uniqueness of solution for p(x)-Laplacian problems

Mostafa Allaoui University Mohamed I Faculty of sciences Department of Mathematics
Abdelrachid El Amrouss University Mohamed I Faculty of sciences Department of Mathematics
Anass Ourraoui University Mohamed I Faculty of sciences Department of Mathematics

DOI: https://doi.org/10.5269/bspm.v33i1.21836

Résumé

This paper shows the existence of weak solution of a problem which involves the p(x)-laplacian with some dierent boundary conditions. The proof of the result is made by Browder Theorem.