Nonnegative solution of a class of double phase problems with logarithmic nonlinearity
Ahmed Aberqi, Omar Benslimane, Mhamed Elmassoudi, Maria Alessandra Ragusa
Abstract
Abstract This manuscript proves the existence of a nonnegative, nontrivial solution to a class of double-phase problems involving potential functions and logarithmic nonlinearity in the setting of Sobolev space on complete manifolds. Some applications are also being investigated. The arguments are based on the Nehari manifold and some variational techniques.
Topics & Concepts
MathematicsNehari manifoldLogarithmClass (philosophy)Sobolev spaceNonlinear systemMathematical analysisManifold (fluid mechanics)Partial differential equationOrdinary differential equationPure mathematicsPhase spaceSpace (punctuation)Phase (matter)Applied mathematicsDifferential equationPhysicsComputer scienceQuantum mechanicsThermodynamicsEngineeringPhilosophyMechanical engineeringLinguisticsArtificial intelligenceNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringNumerical methods in engineering