Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 72, Issue 12, Pages 4551-4574Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2010.02.033
Keywords
Variable exponent; Non-standard growth; Eigenvalue problem; Existence; Uniqueness; Regularity; Harmonic functions; Elliptic equations; Parabolic equations
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Funding
- Academy of Finland
- Emil Aaltonen Foundation
- Finnish Society of Sciences and Letters
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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. (C) 2010 Elsevier Ltd. All rights reserved.
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