Hardy-type inequality in variable exponent Lebesgue spaces derived from nonlinear problem

Sylwia Dudek, Iwona Skrzypczak

We derive a family of weighted Hardy-type inequalities in the variable exponent Lebesgue space with an additional term of the form \[ \int_Ω |ξ|^{p(x)} μ_{1,β}(dx)\leqslant \int_Ω|…