5 citations · 12 across the 8 of their papers we have counts for
18 papers · 1 filter
Absence of Lavrentiev's gap for anisotropic functionals
Michał Borowski, Iwona Chlebicka, Błażej Miasojedow
We establish the absence of the Lavrentiev gap between Sobolev and smooth maps for a non-autonomous variational problem of a general structure, where the integrand is assumed to be…
Controlling monotonicity of nonlinear operators
Michał Borowski, Iwona Chlebicka
Controlling the monotonicity and growth of Leray--Lions' operators including the -Laplacian plays a fundamental role in the theory of existence and regularity of solutions to se…
Functional inequalities and applications to doubly nonlinear diffusion equations
Iwona Chlebicka, Nikita Simonov
We study weighted inequalities of Hardy and Hardy-Poincaré type and find necessary and sufficient conditions on the weights so that the considered inequalities hold. Examples with…
Wolff potentials and measure data vectorial problems with Orlicz growth
Iwona Chlebicka, Yeonghun Youn, Anna Zatorska-Goldstein
We study solutions to measure data elliptic systems with Uhlenbeck-type structure that involve operator of divergence form, depending continuously on the spacial variable, and expo…
Measure data elliptic problems with generalized Orlicz growth
Iwona Chlebicka
We study nonlinear measure data elliptic problems involving the operator exposing generalized Orlicz growth. Our framework embraces reflexive Orlicz spaces, as well as natural vari…
Essentially fully anisotropic Orlicz functions and uniqueness to measure data problem
Iwona Chlebicka, Piotr Nayar
Studying elliptic measure data problem with strongly nonlinear operator whose growth is described by the means of fully anisotropic -function, we prove the uniqueness for a broa…