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Existence results for Kirchhoff type systems with singular nonlinearity

Firouzjai A., Afrouzi G. A., Talebi S.

Opuscula Mathematica

2018

Vol. 38, no. 2

187--199

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.

Multiplicity results for perturbed fourth-order Kirchhoff-type problems

Tavani M. R. H., Afrouzi G. A., Heidarkhani S.

Opuscula Mathematica

2017

Vol. 37, no. 5

755--772

In this paper, we investigate the existence of three generalized solutions for fourth-order Kirchhoff-type problems with a perturbed nonlinear term depending on two real parameters. Our approach is based on variational methods.