Variational eigenvalues of the fractional <i>g</i>-Laplacian
Sabri Bahrouni, Hichem Ounaies, Ariel Salort
Abstract
In the present work we study existence of sequences of variational eigenvalues to non-local non-standard growth problems ruled by the fractional g-Laplacian operator with different boundary conditions (Dirichlet, Neumann and Robin). Due to the non-homogeneous nature of the operator several drawbacks must be overcome, leading to some results that contrast with the case of power functions.
Topics & Concepts
MathematicsLaplace operatorEigenvalues and eigenvectorsOperator (biology)Mathematical analysisNeumann boundary conditionFractional LaplacianDirichlet distributionBoundary (topology)p-LaplacianDirichlet boundary conditionHomogeneousPure mathematicsBoundary value problemApplied mathematicsCombinatoricsQuantum mechanicsChemistryGeneRepressorBiochemistryTranscription factorPhysicsNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringSpectral Theory in Mathematical Physics