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math.AP2014
Nontrival solution for nonlinear p(x)-Laplacian Dirichlet problem with the sign-changing weight
Sylwia Dudek
In this paper we study the nonlinear elliptic problem involving p(x)-Laplacian with nonsmooth potential, where the weighted function may change sign. By using critical point theory…
math.AP2014★ 1 cited
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|…