A multiplicity result for a (p, q)-Schrödinger–Kirchhoff type equation
Vincenzo Ambrosio, Teresa Isernia
Abstract
Abstract In this paper, we study a class of ( p , q )-Schrödinger–Kirchhoff type equations involving a continuous positive potential satisfying del Pino–Felmer type conditions and a continuous nonlinearity with subcritical growth at infinity. By applying variational methods, penalization techniques and Lusternik–Schnirelman category theory, we relate the number of positive solutions with the topology of the set where the potential attains its minimum values.
Topics & Concepts
Multiplicity (mathematics)MathematicsInfinityNonlinear systemType (biology)Class (philosophy)Mathematical analysisSchrödinger's catVariational methodTopology (electrical circuits)Applied mathematicsPure mathematicsPhysicsCombinatoricsComputer scienceQuantum mechanicsArtificial intelligenceEcologyBiologyNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringNonlinear Differential Equations Analysis