AIMS Mathematics (Sep 2023)

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

  • Xiao Wang,
  • D. D. Hai

DOI
https://doi.org/10.3934/math.20231313
Journal volume & issue
Vol. 8, no. 11
pp. 25740 – 25753

Abstract

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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