Comparison and sub-supersolution principles for the fractional p(x)-Laplacian

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A-priori bounds and multiplicity of solutions for nonlinear elliptic problems involving the fractionalp(⋅)-Laplacian (2018, methodology): “It is worth pointing out that in existing articles [2,3,11] working onW s,q(·),p(·,·)(Ω), the function q is actually assumed that q(x) > p(x, x), for all x ∈ Ω due to some technical reason.”
Basic results of fractional Orlicz-Sobolev space and applications to non-local problems (2019, background): “tions involving the fractional p(x)−Laplace operator. In fact, results for the fractional Sobolev spaces with variable exponent and fractional p(x)−Laplace equations are few, for example, we refer to [5, 6, 24, 38]. In the theory of PDEs, when trying to relax some conditions on the operators, such a”