Existence and multiplicity of solutions involving the $p(x)$-Laplacian equations : on the effect of two nonlocal terms

Hamdani, Mohamed Karim (avtor), Mbarki, Lamine (avtor), Allaoui, Mostafa (avtor), Darhouche, Omar (avtor), Repovš, Dušan (avtor)

We study a class of $p(x)$-Kirchhoff problems which is seldom studied because the nonlinearity has nonstandard growth and contains a bi-nonlocal term. Based on variational methods, especially the Mountain pass theorem and Ekeland's variational principle, we obtain the existence of two nontrivial solutions for the problem under certain assumptions. We also apply the Symmetric mountain pass theorem and Clarke's theorem to establish the existence of infinitely many solutions. Our results generalize and extend several existing results.

• Jezik: Angleški jezik
• Ključne besede: p(x)-Laplacian operator, variational methods, Kirchhoff problem, bi-nonlocal term, Ambrosetti-Rabinowitz condition
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Objavljena publikacija
• Leto izida: 2023
• Št. strani: Str. 1452-1467
• Številčenje: Vol. 16, no. 6
• PID: 20.500.12556/RUL-146300-326aaeea-7989-830d-ef04-3608f442c807
• UDK: 517.956
• ISSN pri članku: 1937-1632
• DOI: 10.3934/dcdss.2022129
• COBISS.SI-ID: 111490051

Avtorske pravice

Založnikova različica članka je v RUL shranjena v skladu z založnikovo pogodbo z avtorji. (Datum opombe: 24. 5. 2023)

• Datum objave v RUL: 23.05.2023

Gradivo je del revije

• Naslov: Discrete and continuous dynamical systems. Series S
• Skrajšan naslov: Discret. contin. dyn. syst., Ser. S
• Založnik: American Institute of Mathematical Sciences
• ISSN: 1937-1632
• COBISS.SI-ID: 16098905