Eigenvalue type problem in $s(.,.)$-fractional Musielak-Sobolev spaces

E. Azroul, A. Benkirane, M. Srati

In this paper, first we introduce the $s(.,.)$-fractional Musielak-Sobolev spaces $W^{s(x,y)}{L}_{{\Phi }_{x,y}}(\Omega )$. Next, by means of Ekeland's variational principal, we show that…