Existence Results for Fractional p(x, .)-Laplacian Problem Via the Nehari Manifold Approach.

In the present paper, we study the existence of two non-negative solutions for a class of fractional p(x,.)-Laplacian problems with non-negative weight functions. The main tool is the Nehari manifold approach. Moreover, under some suitable assumptions, continuous and compact embeddings results are established. [ABSTRACT FROM AUTHOR]