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Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations/ by Messoud Efendiev.
Author:	Efendiev, Messoud.
Description:	XVII, 258 p. 3 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Partial differential equations. -
Online resource:	https://doi.org/10.1007/978-3-319-98407-0
ISBN:	9783319984070

Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations
Efendiev, Messoud.

Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations[electronic resource] /by Messoud Efendiev. - 1st ed. 2018. - XVII, 258 p. 3 illus.online resource. - Fields Institute Monographs,361069-5273 ;. - Fields Institute Monographs,34.

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. .

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.

ISBN: 9783319984070

Standard No.: 10.1007/978-3-319-98407-0doiSubjects--Topical Terms:

1102982
Partial differential equations.

LC Class. No.: QA370-380

Dewey Class. No.: 515.353

Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations
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