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Symmetrization and stabilization of ...

Efendiev, Messoud.

Symmetrization and stabilization of solutions of nonlinear elliptic equations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Symmetrization and stabilization of solutions of nonlinear elliptic equationsby Messoud Efendiev.
Author:	Efendiev, Messoud.
Published:	Cham :Springer International Publishing :2018.
Description:	xvii, 258 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Differential equations, Elliptic.
Online resource:	https://doi.org/10.1007/978-3-319-98407-0
ISBN:	9783319984070$q(electronic bk.)

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. - Cham :Springer International Publishing :2018. - xvii, 258 p. :ill., digital ;24 cm. - Fields institute monographs,v.361069-5273 ;. - Fields institute monographs ;v.33..

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$q(electronic bk.)

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

205654
Differential equations, Elliptic.

LC Class. No.: QA377 / .E346 2018

Dewey Class. No.: 515.3533

Symmetrization and stabilization of solutions of nonlinear elliptic equations
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245 1 0 $a Symmetrization and stabilization of solutions of nonlinear elliptic equations $h [electronic resource] / $c by Messoud Efendiev.
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300 $a xvii, 258 p. : $b ill., digital ; $c 24 cm.
490 1 $a Fields institute monographs, $x 1069-5273 ; $v v.36
520 $a 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.
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650 0 $a Differential equations, Nonlinear. $3 185178
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