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

Povzetek

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.

Ključne besede

p(x)-Laplacian operator;variational methods;Kirchhoff problem;bi-nonlocal;Ambrosetti-Rabinowitz condition;

Podatki

Jezik: Angleški jezik
Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UL FMF - Fakulteta za matematiko in fiziko
UDK: 517.956
COBISS: 111490051 Povezava se bo odprla v novem oknu
ISSN: 1937-1632
Št. ogledov: 895
Št. prenosov: 143
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Ostali podatki

Vrsta dela (COBISS): Članek v reviji
Strani: str. 1452-1467
Letnik: ǂVol. ǂ16
Zvezek: ǂno. ǂ6
Čas izdaje: June 2023
DOI: 10.3934/dcdss.2022129
ID: 19014994