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Some existence results for an elliptic equation of Kirchhoff-type with changing sign data and a logarithmic nonlinearity
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Some existence results for an elliptic equation of Kirchhoff-type with changing sign data and a logarithmic nonlinearity

Youcef Bouizem, Salah Boulaaras and Bachir Djebbar
Mathematical methods in the applied sciences, Vol.42(7), pp.2465-2474
15/05/2019
DOI: https://doi.org/10.1002/mma.5523

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
The paper deals with some existence results for an elliptic equation of Kirchhoff-type with changing sign data and a logarithmic nonlinearity by direct variational method, Galerkin approach, and sub-super solutions method. Our results are natural extension of Boulaaras' work in (Math Methods Appl Sci; 41(13):5203-5210).

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