T�tulo: Stable Solutions of Elliptic Partial Differential Equations (Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics, 143)
Editor: Chapman and Hall/CRC
Fecha de publicaci�n: 2011
Idioma: Ingl�s
ISBN 10: 1420066544
ISBN 13: 9781420066548
Encuadernaci�n: Encuadernaci�n de tapa dura
Estado: New

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Sinopsis

This book offers a self-contained presentation of the notion of stability in PDEs. The central questions of regularity and classification of stable solutions are treated at length. Specialists will find a summary of the most recent developments of the theory, such as nonlocal and higher-order equations. For beginners, the book walks through the fine versions of the maximum principle, the standard regularity theory for linear elliptic equations, and the fundamental functional inequalities commonly used in this field. The text also covers the inverse-square potential and submanifolds of Euclidean space.

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Louis Dupaigne is an assistant professor at Universit� Picardie Jules Verne in Amiens, France.

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