77 citations · 82 across the 5 of their papers we have counts for
5 papers
Existence of renormalized solutions to elliptic equation in Musielak-Orlicz space
Piotr Gwiazda, Iwona Skrzypczak, Anna Zatorska-Goldstein
We prove existence of renormalized solutions to general nonlinear elliptic equation in Musielak-Orlicz space avoiding growth restrictions. Namely, we consider \begin{equation*} -{\…
Existence of solutions to degenerate parabolic problems with two weights via the Hardy inequality
Iwona Skrzypczak, Anna Zatorska-Goldstein
The paper concentrates on the application of the following Hardy inequality \begin{equation*} \int_Ω\ |ξ(x)|^p ω_{1 }(x)dx\le \int_Ω|\nabla ξ(x)|^pω_{2 }(x)dx, \end{equation*} to t…
Caccioppoli--type estimates and Hardy--type inequalities derived from degenerated --harmonic problems
Pavel Drábek, Agnieszka Kałamajska, Iwona Skrzypczak
We obtain Caccioppoli--type estimates for nontrivial and nonnegative solutions to the anticoercive partial differential inequalities of elliptic type involving degenerated --Lap…
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_{…
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|…