Opuscula Math. 38, no. 2 (2018), 187-199
https://doi.org/10.7494/OpMath.2018.38.2.187

Opuscula Mathematica

# Existence results for Kirchhoff type systems with singular nonlinearity

A. Firouzjai
G. A. Afrouzi
S. Talebi

Abstract. Using the method of sub-super solutions, we study the existence of positive solutions for a class of singular nonlinear semipositone systems involving nonlocal operator.

Keywords: sub-supersolution, infinite semipositone systems, singular weights, Kirchhoff-type.

Mathematics Subject Classification: 35J55, 35J65.

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• A. Firouzjai
• Pyame Noor University, Faculty of Basic Sciences, Department of Mathematics, Tehran, Iran
• G. A. Afrouzi
• Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
• S. Talebi
• Department of Mathematics, Faculty of Basic Sciences, Pyame Noor University, Mashhad, Iran
• Communicated by Dušan Repovš.
• Revised: 2017-07-16.
• Accepted: 2017-08-22.
• Published online: 2017-12-29.