- Collection of lecture notes ranging from comprehensive introductions to recent developments
- The book provides a concise, readable and self-contained introduction to very recent research developments in regularity theory from Geometric Analysis and Calculus of Variations
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- About this book
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This book contains lecture notes of a series of courses on the regularity theory of partial differential equations and variational problems, held in Pisa and Parma in the years 2009 and 2010. The contributors, Nicola Fusco, Tristan Rivière and Reiner Schätzle, provide three updated and extensive introductions to various aspects of modern Regularity Theory concerning: mathematical modelling of thin films and related free discontinuity problems, analysis of conformally invariant variational problems via conservation laws, and the analysis of the Willmore functional. Each contribution begins with a very comprehensive introduction, and is aimed to take the reader from the introductory aspects of the subject to the most recent developments of the theory.
- Table of contents (3 chapters)
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The Willmore functional
Pages 1-115
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The role of conservation laws in the analysis of conformally invariant problems
Pages 117-167
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Regularity properties of equilibrium configurations of epitaxially strained elastic films
Pages 169-204
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Table of contents (3 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Topics in Modern Regularity Theory
- Editors
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- Giuseppe Mingione
- Series Title
- CRM Series
- Series Volume
- 13
- Copyright
- 2012
- Publisher
- Edizioni della Normale
- Copyright Holder
- Scuola Normale Superiore Pisa
- eBook ISBN
- 978-88-7642-427-4
- DOI
- 10.1007/978-88-7642-427-4
- Softcover ISBN
- 978-88-7642-426-7
- Series ISSN
- 2239-4524
- Edition Number
- 1
