Abstract We study a characterization of the precompactness sets in variable exponent Morrey spaces on bounded metric measure spaces. Totally are characterized from several points view for case over This is new constant exponents.

Abstract In this paper, the existence of a solution for an anisotropic variable exponent system is obtained and proved under general hypotheses. By considering additional conditions, it multiplicity result. The proofs are based on application appropriated $L^{\infty }$ L ∞ </mml:ma...