Springerbriefs in Mathematics

By: Peter Lindqvist

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Paperback | 8 May 2019

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Paperback
118 Pages

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23.3 x 15.5 x 1.2

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This book in the BCAM SpringerBriefs series is a treatise on the p-Laplace equation. It is based on lectures by the author that were originally delivered at the Summer School in Jyvaeskylae, Finland, in August 2005 and have since been updated and extended to cover various new topics, including viscosity solutions and asymptotic mean values. The p-Laplace equation is a far-reaching generalization of the ordinary Laplace equation, but it is non-linear and degenerate (p>2) or singular (p<2). Thus it requires advanced methods. Many fascinating properties of the Laplace equation are, in some modified version, extended to the p-Laplace equation. Nowadays the theory is almost complete, although some challenging problems remain open.

Industry Reviews

"The book will provide the reader with an up-to-date overview on the p-Laplace equation and will uncover ideas behind some concepts and involved results in the field." (Vladimir Bobkov, Mathematical Reviews, December, 2019)
"The book is a very useful contribution to the growing literature on this circle of ideas. I wholeheartedly recommend this book both as a textbook, as well as for independent study." (VicenÅ£iu D. RÄdulescu, zbMATH 1421.35002, 2019)

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