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Applicable Analysis
An International Journal
Volume 101, 2022 - Issue 16
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Research Article

On a singular Kirchhoff type problems driven by p(⋅)-Laplacian operator

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Pages 5932-5947 | Received 11 Feb 2021, Accepted 08 Mar 2021, Published online: 01 Apr 2021
 

ABSTRACT

This work is devoted to introduce a new Hardy-type inequality related to p()-Laplacian operator. Moreover, by using the Mountain Pass theorem and the Krasnoselskii's genus theory, we show the existence and infinite solutions to the p()-Kirchhoff type problem with singular nonlinearity.

2010 Mathematics Subject Classifications:

Acknowledgments

The authors would like to thank to the anonymous referee for his/her carefully reading the manuscript and valuable comments and suggestions.

Disclosure statement

No potential conflict of interest was reported by the author(s).

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