A pocket guide to nonlinear differential equations in Musielak–Orlicz spaces

The Musielak–Orlicz setting unifies variable exponent, Orlicz, weighted Sobolev, and double-phase spaces. They inherit technical difficulties resulting from general growth and inhomogeneity. In this survey we present an overview of developments of the theory of existence of PDEs in the setting inclu...

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Bibliographic Details
Published in:	Nonlinear analysis Vol. 175; pp. 1 - 27
Main Author:	Chlebicka, Iwona
Format:	Journal Article
Language:	English
Published:	Elmsford Elsevier Ltd 01.10.2018 Elsevier BV
Subjects:	Anisotropy Differential equations Elliptic problems Existence of solutions Inhomogeneity Lavrentiev’s phenomenon Mathematical functions Musielak–Orlicz spaces Nonlinear equations Parabolic problems Partial differential equations Renormalized solutions 35J60 46E30 35D30 Elliptic problems Parabolic problems Musielak–Orlicz spaces Renormalized solutions Existence of solutions Lavrentiev’s phenomenon
ISSN:	0362-546X, 1873-5215
Online Access:	Get full text
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