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Titlebook: Notes on the Stationary p-Laplace Equation; Peter Lindqvist Book 2019 The Author(s), under exclusive license to Springer Nature Switzerlan

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书目名称Notes on the Stationary p-Laplace Equation
编辑Peter Lindqvist
视频video
概述Treatise on the p-Laplace equation.Coverage of a variety of topics.Discussion of open problems
丛书名称SpringerBriefs in Mathematics
图书封面Titlebook: Notes on the Stationary p-Laplace Equation;  Peter Lindqvist Book 2019 The Author(s), under exclusive license to Springer Nature Switzerlan
描述.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..
出版日期Book 2019
关键词Mathematics; Partial Differential Equations; Elliptic Equations; p-Laplace Equation; Equations of the se
版次1
doihttps://doi.org/10.1007/978-3-030-14501-9
isbn_softcover978-3-030-14500-2
isbn_ebook978-3-030-14501-9Series ISSN 2191-8198 Series E-ISSN 2191-8201
issn_series 2191-8198
copyrightThe Author(s), under exclusive license to Springer Nature Switzerland AG 2019
The information of publication is updating

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Notes on the Stationary p-Laplace Equation978-3-030-14501-9Series ISSN 2191-8198 Series E-ISSN 2191-8201
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The Dirichlet Problem and Weak Solutions,The natural starting point is a Dirichlet integral .with the exponent ., ., in place of the usual 2.
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Regularity Theory,The weak solutions of the .-harmonic equation are, by definition, members of the Sobolev space .. In fact, they are also of class .. More precisely, a weak solution can be redefined in a set of Lebesgue measure zero, so that the new function is locally Hölder continuous with exponent ..
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