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Applicable Analysis
An International Journal
Volume 97, 2018 - Issue 16
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Articles

Existence of multiple solutions for a p-Kirchhoff problem with the non-linear boundary condition

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Pages 2843-2851 | Received 29 Jul 2016, Accepted 13 Oct 2017, Published online: 06 Nov 2017
 

ABSTRACT

In this paper, using the Nehari manifold and fibering maps, we study the existence of at least two positive solutions for the following p-Kirchhoff equation

where is a bounded domain, with a, b, , is the p-Laplacian operator, is a parameter.

AMS Subject Classifications:

Acknowledgements

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

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

Project Supported by the Natural Science Foundation of Education Bureau of Anhui Province [grant number KJ2017A432]; and the NSF of China [grant number 11571093], [grant number 11471164].

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