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On the fourth-order Leray-Lions problem with indefinite weight and nonstandard growth conditions
Journal article   Open access  Peer reviewed

On the fourth-order Leray-Lions problem with indefinite weight and nonstandard growth conditions

K. Kefi, N. Irzi, M. M. Al-Shomrani and D. D. Repovs
Bulletin of mathematical sciences, Vol.12(2)
08/2022
DOI: https://doi.org/10.1142/S1664360721500089

Abstract

Mathematics Physical Sciences Science & Technology
We prove the existence of at least three weak solutions for the fourth-order problem with indefinite weight involving the Leray-Lions operator with nonstandard growth conditions. The proof of our main result uses variational methods and the critical theorem of Bonanno and Marano [Appl. Anal. 89 (2010) 1-10].
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https://doi.org/10.1142/S1664360721500089View
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