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

Xiao Wang,D D Hai

doi:10.3934/math.20231313

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

Xiao Wang, D D Hai

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https://doi.org/10.3934/math.20231313

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Journal: AIMS Mathematics	Publication Date: Jan 1, 2023
License type: cc-by

Affiliation: Jiangsu University, Mississippi State University

#Sturm-Liouville Boundary Conditions #Fixed Point Theorem + Show 6 more

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Abstract

<abstract><p>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></abstract>

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