Existence of solutions for elliptic systems involving the fractional p(x)-Laplacian

Hadjira Lalili

doi:10.5269/bspm.64239

Hadjira Lalili University of Bejaia https://orcid.org/0000-0002-3518-5354

Abstract

In this paper, we consider a class of non-homogeneous fractional (p (.), q (.))−Laplacian systems. By using variational methods and combining with the theory of Lebesgue and fractional Sobolev spaces with variable exponents, we prove the existence of solutions to the system.

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Author Biography

Hadjira Lalili, University of Bejaia

Applied Mathematics Laboratory

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