Overview of differential equations with non-standard growth

Differential equations with non-standard growth have been a very active field of investigation in recent years. In this survey we present an overview of the field, as well as several of the most important results. We consider both existence and regularity questions. Finally, we provide a comprehensi...

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Bibliographic Details
Published in:Nonlinear analysis 2010-06, Vol.72 (12), p.4551-4574
Main Authors: Harjulehto, Petteri, Hästö, Peter, Lê, Út V., Nuortio, Matti
Format: Article
Language:English
Subjects:
Differential equations
Eigenvalue problem
Elliptic equations
Exact sciences and technology
Existence
Harmonic functions
Lists
Mathematical analysis
Mathematics
Non-standard growth
Nonlinearity
Ordinary differential equations
Parabolic equations
Partial differential equations
Regularity
Sciences and techniques of general use
Uniqueness
Variable exponent
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Summary:Differential equations with non-standard growth have been a very active field of investigation in recent years. In this survey we present an overview of the field, as well as several of the most important results. We consider both existence and regularity questions. Finally, we provide a comprehensive list of papers published to date.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2010.02.033