Geodesic
Multiple Solutions for a Nonlocal Kirchhoff Problem in Fractional Orlicz-Sobolev Spaces
Kragujevac Journal of Mathematics, Tome 49 (2025) no. 2, p. 287

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In this paper, using the three critical points theorem we obtain the existence of three weak solutions for a Kirchhoff type problem driven by a nonlocal operator of the elliptic type in a fractional Orlicz-Sobolev space, with homogeneous Dirichlet boundary conditions.
Classification : 35R11, 35J20, 58E05, 35J60
Keywords: nonlocal Kirchhoff type problem, fractional a(⋅)-Laplacian, fractional Orlicz-Sobolev spaces, three critical points theorem 
Elhoussine Azroul; Abdelmoujib Benkirane; Mohammed Srati; Mingqi Xiang. Multiple Solutions for a Nonlocal Kirchhoff Problem in Fractional Orlicz-Sobolev Spaces. Kragujevac Journal of Mathematics, Tome 49 (2025) no. 2, p. 287 . http://geodesic.mathdoc.fr/item/KJM_2025_49_2_a7/
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     author = {Elhoussine Azroul and Abdelmoujib Benkirane and Mohammed Srati and Mingqi Xiang},
     title = {Multiple {Solutions} for a {Nonlocal} {Kirchhoff} {Problem} in {Fractional} {Orlicz-Sobolev} {Spaces}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {287 },
     year = {2025},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2025_49_2_a7/}
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