On a nonlocal problem involving the generalized anisotropic p(⋅)-Laplace operator

Mustafa Avci


In this paper, we study an anisotropic nonlocal problem which is a stationary counterpart of the Kirchhoff equation settled in the variable exponent Sobolev spaces W₀^{1,p(⋅)}(Ω). By using the variational approach and applying the Mountain-Pass theorem along with the Fountain theorem, we obtain the existence and multiplicity of nontrivial weak solutions.

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