East Asian mathematical journal

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

  • Kim, Chan-Gyun (Department of Mathematics Education Chinju National University of Education)
  • Received : 2021.12.24
  • Accepted : 2022.01.06
  • Published : 2022.01.31
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Abstract

In this paper, we study singular Dirichlet boundary value problems involving ϕ-Laplacian. Using fixed point index theory, the existence of positive solutions is established under the assumption that the nonlinearity f = f(u) has a positive falling zero and is either superlinear or sublinear at u = 0.

Keywords

Acknowledgement

This work was supported by a research grant of Chinju National University of Education in 2020.

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