Notes on the Stationary p-Laplace Equation

Häftad, Engelska, 2019

Del i serien SpringerBriefs in Mathematics

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Beskrivning

This book in the BCAM SpringerBriefs series is a treatise on the p-Laplace equation. 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).

Produktinformation

Utgivningsdatum:2019-05-08
Mått:155 x 235 x 12 mm
Vikt:196 g
Format:Häftad
Språk:Engelska
Serie:SpringerBriefs in Mathematics
Antal sidor:104
Förlag:Springer Nature Switzerland AG
ISBN:9783030145002

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

Peter Lindqvist is Professor of Mathematics in the Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway. His research focus is analysis, including in particular partial differential equations and “non-linear potential theory”.

Recensioner i media

“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.” (Vicenţiu D. Rădulescu, zbMATH 1421.35002, 2019)

Innehållsförteckning

1 Introduction.- 2 The Dirichlet problem and weak solutions.- 3 Regularity theory.- 4 Differentiability.- 5 On p-superharmonic functions.- 6 Perron's method.- 7 Some remarks in the complex plane.- 8 The infinity Laplacian.- 9 Viscosity solutions.- 10 Asymptotic mean values.- 11 Some open problems.- 12 Inequalities for vectors.