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Notes on the stationary p-Laplace equation

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 viscosi...

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Detalles Bibliográficos
Autor principal: Lindqvist, Peter
Lenguaje:eng
Publicado: Springer 2019
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-030-14501-9
http://cds.cern.ch/record/2673427
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author Lindqvist, Peter
author_facet Lindqvist, Peter
author_sort Lindqvist, Peter
collection CERN
description 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.
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spelling cern-26734272021-04-21T18:25:25Zdoi:10.1007/978-3-030-14501-9http://cds.cern.ch/record/2673427engLindqvist, PeterNotes on the stationary p-Laplace equationMathematical Physics and MathematicsThis 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.Springeroai:cds.cern.ch:26734272019
spellingShingle Mathematical Physics and Mathematics
Lindqvist, Peter
Notes on the stationary p-Laplace equation
title Notes on the stationary p-Laplace equation
title_full Notes on the stationary p-Laplace equation
title_fullStr Notes on the stationary p-Laplace equation
title_full_unstemmed Notes on the stationary p-Laplace equation
title_short Notes on the stationary p-Laplace equation
title_sort notes on the stationary p-laplace equation
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-030-14501-9
http://cds.cern.ch/record/2673427
work_keys_str_mv AT lindqvistpeter notesonthestationaryplaplaceequation