Titre: Stable Solutions of Elliptic Partial Differential Equations (Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics, 143)
�diteur: Chapman and Hall/CRC
Date de parution: 2011
Langue: anglais
ISBN � 10 chiffres: 1420066544
ISBN � 13 chiffres: 9781420066548
Reliure: Couverture rigide
�tat de l'article: New

A propos de ce titre

Synopsis

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.

� propos de l?auteur

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

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