East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR SINGULAR GENERALIZED LAPLACIAN PROBLEMS WITH A PARAMETER

  • Kim, Chan-Gyun (Department of Mathematics Education Chinju National University of Education)
  • Received : 2022.07.21
  • Accepted : 2022.09.15
  • Published : 2022.09.30
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Abstract

In this paper, we consider singular 𝜑-Laplacian problems with nonlocal boundary conditions. Using a fixed point index theorem on a suitable cone, the existence results for one or two positive solutions are established under the assumption that the nonlinearity may not satisfy the L1-Carathéodory condition.

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References

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