11 citations · 12 across the 3 of their papers we have counts for
3 papers
math.AP2023★ 11 cited
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…
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|…