117 citations · 335 across the 29 of their papers we have counts for
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Elliptic problems with growth in nonreflexive Orlicz spaces and with measure or data
Iwona Chlebicka, Flavia Giannetti, Anna Zatorska-Goldstein
We investigate solutions to nonlinear elliptic Dirichlet problems of the type \[ \left\{\begin{array}{cl} - {\rm div} A(x,u,\nabla u)= μ&\qquad \mathrm{ in}\qquad Ω, u=0 &\qquad \m…
Renormalized solutions to parabolic equations in time and space dependent anisotropic Musielak-Orlicz spaces in absence of Lavrentiev's phenomenon
Iwona Chlebicka, Piotr Gwiazda, Anna Zatorska-Goldstein
We provide existence and uniqueness of renomalized solutions to a general nonlinear parabolic equation with merely integrable data on a Lipschitz bounded domain in .…
Parabolic equation in time and space dependent anisotropic Musielak-Orlicz spaces in absence of Lavrentiev's phenomenon
Iwona Chlebicka, Piotr Gwiazda, Anna Zatorska-Goldstein
We study a general nonlinear parabolic equation on a Lipschitz bounded domain in , \begin{equation*} \left\{\begin{array}{l l} \partial_t u-\mathrm{div} A(t,x,\nabla…
Gradient estimates for problems with Orlicz growth
Iwona Chlebicka
We study a general nonlinear elliptic equation in the Orlicz setting with data not belonging to the dual of the energy space. We provide several Lorentz-type and Morrey-type estima…
A pocket guide to nonlinear differential equations in the Musielak--Orlicz spaces
Iwona Chlebicka
The Musielak--Orlicz setting unifies the variable exponent, Orlicz, weighted Sobolev, and double-phase spaces. They inherit technical difficulties resulting from general growth and…