On a class of one-dimensional superlinear semipositone $  (p, q)  $ -Laplacian problem

Xiao Wang; D. D. Hai; Xiao Wang; D. D. Hai

doi:10.3934/math.20231313

AIMS Mathematics

2023, Volume 8, Issue 11: 25740-25753. doi: 10.3934/math.20231313

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Research article

On a class of one-dimensional superlinear semipositone $ (p, q) $ -Laplacian problem

Xiao Wang ¹,
D. D. Hai ^{2
,
,}

1.
Institute of Applied System Analysis Jiangsu University, Zhenjiang, Jiangsu 212013, China
2.
Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762

Received: 20 June 2023 Revised: 18 August 2023 Accepted: 27 August 2023 Published: 07 September 2023
MSC : Primary 34B15; Secondary 34B18

We study the existence of positive solutions for a class of one-dimensional superlinear $ (p, q) $ -Laplacian with Sturm-Liouville boundary conditions. We allow the reaction term to be singular at 0 with infinite semipositone behavior. Our approach depends on Amann's fixed point theorem.
- (p, q)-Laplacian,
- superlinear,
- positive solutions
Citation: Xiao Wang, D. D. Hai. On a class of one-dimensional superlinear semipositone $ (p, q) $ -Laplacian problem[J]. AIMS Mathematics, 2023, 8(11): 25740-25753. doi: 10.3934/math.20231313

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Abstract

We study the existence of positive solutions for a class of one-dimensional superlinear $ (p, q) $ -Laplacian with Sturm-Liouville boundary conditions. We allow the reaction term to be singular at 0 with infinite semipositone behavior. Our approach depends on Amann's fixed point theorem.

References

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