This paper deals with the existence and multiplicity of weak solutions to a class of quasilinear elliptic ⃗ 𝑝(𝑥)-Kirchhoff type problems with weight and a nonlinearRobin boundary condition such aswhere Ω is a smooth bounded domain. Under suitable conditions on the data, we show the existence and multiplicity of weak solutions by means of a variational approach in the framework of anisotropic Sobolev spaces with variable exponents.
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