Existence of ground state solutions of elliptic system in Fractional Orlicz-Sobolev Spaces
Hamza El‐Houari, Lalla Saâdia Chadli, H. Moussa
Abstract
We employing a minimization arguments on appropriate Nehari manifolds, we obtain ground state solutionsfor a non-local elliptic system driven by the fractional a(.)-Laplacian operator, with Dirichlet boundaryconditions type.
Topics & Concepts
Sobolev spaceMathematicsPure mathematicsNehari manifoldOperator (biology)Laplace operatorGround stateMathematical analysisFractional LaplacianPhysicsNonlinear systemRepressorBiochemistryChemistryQuantum mechanicsGeneTranscription factorNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringNumerical methods in inverse problems