E-Book, Englisch, 104 Seiten
Lindqvist Notes on the Stationary p-Laplace Equation
1. Auflage 2019
ISBN: 978-3-030-14501-9
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 104 Seiten
Reihe: SpringerBriefs in Mathematics
ISBN: 978-3-030-14501-9
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
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 Jyväskylä, 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.
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'.
