Description: Morse Index of Solutions of Nonlinear Elliptic Equations, Hardcover by Damascelli, Lucio; Pacella, Filomena, ISBN 311053732X, ISBN-13 9783110537321, Like New Used, Free shipping in the US Damascelli (Tor Vergata University of Rome) and Pacella (Sapienza University of Rome) compute the Morse index of radial solutions of classical Lane-Emden problems, show connections between the Morse index of solutions of semilinear elliptic equations and their symmetry properties, and demonstrate symmetry results for solutions of elliptic systems obtained using Morse index bounds. The opening chapters of the graduate text review different forms of weak and strong maximum principles, the classical eigenvalue theory for boundary value problems involving elliptic operators, and basic Morse theory of functions on both finite and infinite dimensional manifolds. Annotation ©2019 Ringgold, Inc., Portland, OR ()
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Book Title: Morse Index of Solutions of Nonlinear Elliptic Equations
Number of Pages: 269 Pages
Language: English
Publication Name: Morse Index of Solutions of Nonlinear Elliptic Equations
Publisher: DE Gruyter, Inc.
Subject: Geometry / Differential, Geometry / General, General, Differential Equations / Partial
Publication Year: 2019
Item Weight: 21.3 Oz
Type: Textbook
Subject Area: Mathematics
Item Length: 9.4 in
Author: Filomena Pacella, Lucio Damascelli
Item Width: 6.7 in
Series: De Gruyter Series in Nonlinear Analysis and Applications Ser.
Format: Hardcover
