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Research Article | Open Access

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

Xiao Wang1, D. D. Hai2( )
Institute of Applied System Analysis Jiangsu University, Zhenjiang, Jiangsu 212013, China
Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762
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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.

Keywords

(p, q)-Laplaciansuperlinearpositive solutions
CLC number: Primary 34B15; Secondary 34B18

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AIMS Mathematics
Volume 8 Issue 11,
November 2023
Pages 25740-25753
DOI: 10.3934/math.20231313

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Cite this article:
Wang X, Hai DD. On a class of one-dimensional superlinear semipositone ( p , q ) -Laplacian problem. AIMS Mathematics, 2023, 8(11): 25740-25753. https://doi.org/10.3934/math.20231313

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Received: 20 June 2023
Revised: 18 August 2023
Accepted: 27 August 2023
Published: 15 November 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)