Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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EXISTENCE OF INFINITELY MANY SOLUTIONS FOR A CLASS OF NONLOCAL PROBLEMS WITH DIRICHLET BOUNDARY CONDITION

  • Chaharlang, Moloud Makvand (Department of Pure Mathematics Faculty of Science Imam Khomeini International University) ;
  • Razani, Abdolrahman (Department of Pure Mathematics Faculty of Science Imam Khomeini International University)
  • Received : 2017.11.15
  • Accepted : 2018.10.15
  • Published : 2019.01.31
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Abstract

In this article we are concerned with some non-local problems of Kirchhoff type with Dirichlet boundary condition in Orlicz-Sobolev spaces. A result of the existence of infinitely many solutions is established using variational methods and Ricceri's critical points principle modified by Bonanno.

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References

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