Recent developments in problems with nonstandard growth and nonuniform ellipticity
G Mingione, V Rădulescu - Journal of Mathematical Analysis and …, 2021 - Elsevier
Recent developments in problems with nonstandard growth and nonuniform ellipticity -
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[图书][B] Partial differential equations in anisotropic Musielak-Orlicz spaces
Anisotropic and inhomogeneous spaces, which are at the core of the present study, may
appear exotic at first. However, the reader should abandon this impression once they realize …
appear exotic at first. However, the reader should abandon this impression once they realize …
Supersolutions and superharmonic functions for nonlocal operators with Orlicz growth
We study supersolutions and superharmonic functions related to problems involving
nonlocal operators with Orlicz growth, which are crucial tools for the development of …
nonlocal operators with Orlicz growth, which are crucial tools for the development of …
Measure data elliptic problems with generalized Orlicz growth
I Chlebicka - Proceedings of the Royal Society of Edinburgh Section …, 2023 - cambridge.org
We study nonlinear measure data elliptic problems involving the operator of generalized
Orlicz growth. Our framework embraces reflexive Orlicz spaces, as well as natural variants of …
Orlicz growth. Our framework embraces reflexive Orlicz spaces, as well as natural variants of …
Lavrentiev gap for some classes of generalized Orlicz functions
AK Balci, M Surnachev - Nonlinear Analysis, 2021 - Elsevier
Lavrentiev gap for some classes of generalized Orlicz functions - ScienceDirect Skip to main
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Wolff potentials and local behaviour of solutions to measure data elliptic problems with Orlicz growth
I Chlebicka, F Giannetti… - arXiv preprint arXiv …, 2020 - arxiv.org
We establish pointwise estimates expressed in terms of a nonlinear potential of a
generalized Wolff type for $ A $-superharmonic functions with nonlinear operator …
generalized Wolff type for $ A $-superharmonic functions with nonlinear operator …
Wolff potentials and measure data vectorial problems with Orlicz growth
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 …
involve operator of divergence form, depending continuously on the spacial variable, and …
[PDF][PDF] Optimal gradient estimates for multi-phase integrals
C De Filippis - arXiv preprint arXiv:2107.04898, 2021 - arxiv.org
arXiv:2107.04898v1 [math.AP] 10 Jul 2021 Page 1 arXiv:2107.04898v1 [math.AP] 10 Jul 2021
OPTIMAL GRADIENT ESTIMATES FOR MULTI-PHASE INTEGRALS CRISTIANA DE FILIPPIS …
OPTIMAL GRADIENT ESTIMATES FOR MULTI-PHASE INTEGRALS CRISTIANA DE FILIPPIS …
Generalized superharmonic functions with strongly nonlinear operator
I Chlebicka, A Zatorska-Goldstein - Potential Analysis, 2022 - Springer
We study properties of A A-harmonic and A A-superharmonic functions involving an operator
having generalized Orlicz growth. Our framework embraces reflexive Orlicz spaces, as well …
having generalized Orlicz growth. Our framework embraces reflexive Orlicz spaces, as well …
Barrier Solutions of Elliptic Differential Equations in Musielak‐Orlicz‐Sobolev Spaces
G Dong, X Fang - Journal of Function Spaces, 2021 - Wiley Online Library
In this paper, we study the solution set of the following Dirichlet boundary equation:− div (a1
(x, u, Du))+ a0 (x, u)= f (x, u, Du) in Musielak‐Orlicz‐Sobolev spaces, where a1: Ω× ℝ× ℝN⟶ …
(x, u, Du))+ a0 (x, u)= f (x, u, Du) in Musielak‐Orlicz‐Sobolev spaces, where a1: Ω× ℝ× ℝN⟶ …