Multiple solutions for nonlinear boundary value problems of Kirchhoff type on a double phase setting
Alessio Fiscella, Greta Marino, Andrea Pinamonti, Simone Verzellesi
Abstract
Abstract This paper deals with some classes of Kirchhoff type problems on a double phase setting and with nonlinear boundary conditions. Under general assumptions, we provide multiplicity results for such problems in the case when the perturbations exhibit a suitable behavior in the origin and at infinity, or when they do not necessarily satisfy the Ambrosetti–Rabinowitz condition. To this aim, we combine variational methods, truncation arguments and topological tools.
Topics & Concepts
MathematicsNonlinear systemTruncation (statistics)Boundary value problemType (biology)InfinityMultiplicity (mathematics)Mathematical analysisApplied mathematicsBoundary (topology)PhysicsBiologyStatisticsQuantum mechanicsEcologyNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringNonlinear Differential Equations Analysis