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20162026
most citedA pocket guide to nonlinear differential equations in the Musielak--Orlicz spaces

117 citations · 335 across the 29 of their papers we have counts for

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Showing 2020Show all

6 papers · 1 filter

math.AP2020★ 3 cited

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…

math.AP2020

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…

math.AP2020★ 5 cited

Wolff potentials and local behaviour of solutions to measure data elliptic problems with Orlicz growth

Iwona Chlebicka, Flavia Giannetti, Anna Zatorska-Goldstein

We establish pointwise estimates expressed in terms of a nonlinear potential of a generalized Wolff type for -superharmonic functions with nonlinear operator $A:Ω\times\mathbb{R…

math.AP2020

Generalized superharmonic functions with strongly nonlinear operator

Iwona Chlebicka, Anna Zatorska-Goldstein

We study properties of -harmonic and -superharmonic functions involving an operator having generalized Orlicz-growth embracing besides Orlicz case also na…

math.AP2020

Boundary regularity for manifold constrained -harmonic maps

Iwona Chlebicka, Cristiana De Filippis, Lukas Koch

We prove partial and full boundary regularity for manifold constrained -harmonic maps.

math.AP2020

Removable sets in elliptic equations with Musielak-Orlicz growth

Iwona Chlebicka, Arttu Karppinen

We characterize, in the terms of intrinsic Hausdorff measures, the size of~removable sets for Hölder continuous solutions to elliptic equations with Musielak-Orlicz growth. In the…