Nonvariational and singular double phase problems for the Baouendi-Grushin operator
Anouar Bahrouni, Vicenţiu D. Rădulescu, Dušan Repovš
Abstract
In this paper we introduce a new double phase Baouendi-Grushin type operator with variable coefficients. We give basic properties of the corresponding functions space and prove a compactness result. In the second part, using topological argument, we prove the existence of weak solutions of some nonvariational problems in which this new operator is present. The present paper extends and complements some of our previous contributions related to double phase anisotropic variational integrals.
Topics & Concepts
MathematicsOperator (biology)Compact spaceType (biology)Mathematical analysisPhase (matter)Argument (complex analysis)Pure mathematicsPhase spaceVariable (mathematics)Space (punctuation)Computer scienceQuantum mechanicsPhysicsGeneChemistryBiochemistryRepressorBiologyOperating systemTranscription factorEcologyNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringAnalytic and geometric function theory