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On weak solutions for fourth-order problems involving the Leray-Lions type operators
Khaled Kefi, Dušan Repovš, Kamel Saoudi
Izvirni znanstveni članek
Oznake: fourth-order PDE;generalized Sobolev space;Leray-Lions type operator;variable exponent;weak solution;variational method;
We investigate existence and multiplicity of weak solutions for fourth-order problems involving the Leray-Lions type operators in variable exponent spaces and improve a result of Bonanno and Chinnì (2011). We use variational methods and apply a multiplicity theorem of Bonanno and Marano (2010).
Leto: 2021 Vir: Fakulteta za matematiko in fiziko (UL FMF)
On the fourth-order Leray-Lions problem with indefinite weight and nonstandard growth conditions
Khaled Kefi, Nawal Irzi, Mohammed Mosa Al-Shomrani, Dušan Repovš
Izvirni znanstveni članek
Oznake: Leray-Lions type operator;critical theorem;generalized Sobolev space;variable exponent;
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 (201 ...
Leto: 2022 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Št. zadetkov: 2
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