11 citations · 12 across the 4 of their papers we have counts for
4 papers
A generalized Stokes system with a nonsmooth slip boundary condition
Jing Zhao, Stanislaw Migorski, Sylwia Dudek
A class of quasi-variational-hemivariational inequalities in reflexive Banach spaces is studied. The inequalities contain a convex potential, a locally Lipschitz superpotential, an…
Variable exponent Hardy-type inequalities in
Sylwia Dudek, Iwona Skrzypczak
In this paper, we investigate further the weighted -Hardy inequality with the additional term of the form \[ \int_Ω|ξ|^{p(x)}μ_{1,β} (dx) \leqslant \int_Ω|\nabla ξ|^{p(x)}μ_{…
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…
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|…