On a class of fractional p (⋅,⋅)−Laplacian problems with sub-supercritical nonlinearities

Abstract

This paper is devoted to study a class of nonlocal variable exponent problems involving fractional p (⋅,⋅)-Laplacian operator. Under appropriate conditions, some new results on the existence and nonexistence of solutions are established via variational approach and Pohozaev's fibering method.