
Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations
Messoud Efendiev(Author)
Springer (Publisher)
Published on 26. January 2019
Book
Paperback/Softback
276 pages
978-3-030-07491-3 (ISBN)
Description
This book deals with a systematic study of a dynamical system approach to investigate the symmetrization and stabilization properties of nonnegative solutions of nonlinear elliptic problems in asymptotically symmetric unbounded domains. The usage of infinite dimensional dynamical systems methods for elliptic problems in unbounded domains as well as finite dimensional reduction of their dynamics requires new ideas and tools. To this end, both a trajectory dynamical systems approach and new Liouville type results for the solutions of some class of elliptic equations are used. The work also uses symmetry and monotonicity results for nonnegative solutions in order to characterize an asymptotic profile of solutions and compares a pure elliptic partial differential equations approach and a dynamical systems approach. The new results obtained will be particularly useful for mathematical biologists.
More details
Product info
Paperback
Series
Edition
Softcover reprint of the original 1st ed. 2018
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Illustrations
3 s/w Abbildungen
3 Illustrations, black and white; XVII, 258 p. 3 illus.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 16 mm
Weight
423 gr
ISBN-13
978-3-030-07491-3 (9783030074913)
DOI
10.1007/978-3-319-98407-0
Schweitzer Classification
Other editions
Additional editions

Book
10/2018
Springer
€96.29
Shipment within 10-15 days
Content
Preface.- 1. Preliminaries.- 2. Trajectory dynamical systems and their attractors.- 3. Symmetry and attractors: the case N = 3.- 4. Symmetry and attractors: the case N = 4.- 5. Symmetry and attractors.- 6. Symmetry and attractors: arbitrary dimension.- 7. The case of p-Laplacian operator.- Bibliography.