Stable Solutions of Elliptic Partial Differential Equations

Louis Dupaigne

ISBN 10: 1420066544 / ISBN 13: 9781420066548

Verlag: Taylor & Francis Group, 2011

Beschreibung

pp. 335 Index.

Bestandsnummer des Verkäufers 261097116

Bibliografische Details

• Titel: Stable Solutions of Elliptic Partial Differential Equations
• Verlag: Taylor & Francis Group
• Veröffentlichungsdatum: 2011
• Sprache: Englisch
• ISBN-10: 1420066544
• ISBN-13: 9781420066548
• Bindung: Hardcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

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