On the fourth-order Leray-Lions problem with indefinite weight and nonstandard growth conditionsKefi, Khaled (Avtor) Irzi, Nawal (Avtor) Al-Shomrani, Mohammed Mosa (Avtor) Repovš, Dušan (Avtor) Leray-Lions type operatorcritical theoremgeneralized Sobolev spacevariable exponentWe 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].20222022-08-22 10:59:38Članek v reviji138835UDK: 517.956ISSN pri članku: 1664-3607DOI: 10.1142/S1664360721500089COBISS_ID: 81043715sl