Infinitely many solutions for nonlocal elliptic systems in Orlicz–Sobolev spaces
Samira Heidari, A. Razani
Abstract
Abstract Recently, the existence of at least two weak solutions for a Kirchhoff–type problem has been studied in [M. Makvand Chaharlang and A. Razani, Two weak solutions for some Kirchhoff-type problem with Neumann boundary condition, Georgian Math. J. 28 2021, 3, 429–438]. Here, the existence of infinitely many solutions for nonlocal Kirchhoff-type systems including Dirichlet boundary conditions in Orlicz–Sobolev spaces is studied by using variational methods and critical point theory.
Topics & Concepts
MathematicsSobolev spaceMathematical analysisType (biology)Pure mathematicsNeumann boundary conditionDirichlet distributionBoundary (topology)Boundary value problemEcologyBiologyNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringDifferential Equations and Boundary Problems