Existence and multiplicity results for a class of Kirchho type problems involving the p(x)-biharmonic operator

Omar Darhouche


The aim of this paper is to establish the existence and multiplicity of solutions for a class of nonlocal problem involving the p(x)-biharmonic operator. Our technical approach is based on direct variational method and the theory of variable exponent Sobolev spaces.


Variational method; Mountain pass theorem; p(x)-Biharmonic Operator; Kirchho type equation; Nonlocal problem; Navier boundary conditions; generalized Lebesgue-Sobolev spaces

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DOI: http://dx.doi.org/10.5269/bspm.v37i2.32100

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