On a fourth-order Neumann problem in variable exponent spaces
Filomat, Tome 37 (2023) no. 7, p. 2027

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DOI

We study the Neumann problem with Leray-Lions type operator. Using the classical variational theory, we prove the existence, uniqueness and multiplicity of solutions. As far as we know, this is the first attempt to investigate such a fourth-order problem involving Leray-Lions type operators.
DOI : 10.2298/FIL2307027Z
Classification : 35R03, 35A15, 35J40
Keywords: Neumann problem, Leray-Lions operator, Variational methods, Ricceri’s three critical points, Fountain theorem
Jiabin Zuo; Zakaria El El Allali; Said Taarabti; Dušan D Repovš. On a fourth-order Neumann problem in variable exponent spaces. Filomat, Tome 37 (2023) no. 7, p. 2027 . doi: 10.2298/FIL2307027Z
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     title = {On a fourth-order {Neumann} problem in variable exponent spaces},
     journal = {Filomat},
     pages = {2027 },
     year = {2023},
     volume = {37},
     number = {7},
     doi = {10.2298/FIL2307027Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2307027Z/}
}
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