Ground State Solutions for a Nonlocal System in Fractional Orlicz-Sobolev Spaces
Hamza El‐Houari, H. Moussa, Lalla Saâdia Chadli
Abstract
We consider an elliptic system driven by the fractional <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M1"> <a:mi>a</a:mi> <a:mfenced open="(" close=")" separators="|"> <a:mrow> <a:mo>.</a:mo> </a:mrow> </a:mfenced> </a:math> -Laplacian operator, with Dirichlet boundary conditions type. By using the Nehari manifold approach, we get a nontrivial ground state solution on fractional Orlicz–Sobolev spaces.
Topics & Concepts
MathematicsSobolev spaceNehari manifoldPure mathematicsBoundary (topology)Operator (biology)Type (biology)Laplace operatorManifold (fluid mechanics)Mathematical analysisFractional LaplacianDirichlet distributionp-LaplacianBoundary value problemPhysicsEcologyMechanical engineeringGeneQuantum mechanicsRepressorNonlinear systemTranscription factorChemistryBiochemistryBiologyEngineeringNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringNonlinear Differential Equations Analysis