East Asian mathematical journal

  • 제38권1호
  • /
  • Pages.13-20
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  • 2022
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  • 1226-6973(pISSN)
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  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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MULTIPLICITY OF POSITIVE SOLUTIONS TO SCHRÖDINGER-TYPE POSITONE PROBLEMS

  • Ko, Eunkyung (Major in Mathematics, College of Natural Science, Keimyung University)
  • 투고 : 2021.12.24
  • 심사 : 2022.01.03
  • 발행 : 2022.01.31
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초록

We establish multiplicity results for positive solutions to the Schrödinger-type singular positone problem: -∆u + V (x)u = λf(u) in Ω, u = 0 on ∂Ω, where Ω is a bounded domain in ℝN, N > 2, λ is a positive parameter, V ∈ L∞(Ω) and f : [0, ∞) → (0, ∞) is a continuous function. In particular, when f is sublinear at infinity we discuss the existence of at least three positive solutions for a certain range of λ. The proofs are mainly based on the sub- and supersolution method.

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과제정보

This work was financially supported by the National Research Foundation of Korea (NRF) grant funded by the Korea Government (NRF-2020R1F1A1A01065912).

참고문헌

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