4.6 Article

Overview of differential equations with non-standard growth

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出版社

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2010.02.033

关键词

Variable exponent; Non-standard growth; Eigenvalue problem; Existence; Uniqueness; Regularity; Harmonic functions; Elliptic equations; Parabolic equations

资金

  1. Academy of Finland
  2. Emil Aaltonen Foundation
  3. 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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