Abstract

In this paper, we consider a class of fractional Laplacian problems of the form: where is a bounded domain and is the fractional -Laplacian operator. We assume that λ and μ are positive parameters and is a continuous function. By opting for the Nehari manifold method combined with the theory of generalized Lebesgue Sobolev spaces, we will prove the existence of solutions to the above problem.

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