On the fourth-order Leray–Lions problem with indefinite weight and nonstandard growth conditions
Khaled Kefi, Nawal Irzi, M. M. Al-Shomrani, Dušan Repovš
Abstract
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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