On a fourth-order Neumann problem in variable exponent spaces

Jiabin Zuo, Zakaria El Allali, Said Taarabti, Dušan D. Repovš


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.


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