Nehari manifold for a singular fractional problem driven by a general non-local integrodifferential operator

Abstract

In this paper, we study the existence and the multiplicity of solutions for a fractional problem with variable exponents and singular nonlinearity. More precisely, we use the variational and the Nehari manifold methods to prove the existence of two nontrivial solutions for such a problem which involves a general integro-differential operator of nonlocal fractional type.