On a fourth-order Neumann problem in variable exponent spaces
Filomat, Tome 37 (2023) no. 7, p. 2027
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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.
Classification :
35R03, 35A15, 35J40
Keywords: Neumann problem, Leray-Lions operator, Variational methods, Ricceri’s three critical points, Fountain theorem
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
@article{10_2298_FIL2307027Z,
author = {Jiabin Zuo and Zakaria El El Allali and Said Taarabti and Du\v{s}an D Repov\v{s}},
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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%0 Journal Article %A Jiabin Zuo %A Zakaria El El Allali %A Said Taarabti %A Dušan D Repovš %T On a fourth-order Neumann problem in variable exponent spaces %J Filomat %D 2023 %P 2027 %V 37 %N 7 %U http://geodesic.mathdoc.fr/articles/10.2298/FIL2307027Z/ %R 10.2298/FIL2307027Z %G en %F 10_2298_FIL2307027Z
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