Symmetriazation and Stabilization of Solutions of Nonlinear Elliptic Equations - Couverture rigide

Efendiev, Messoud

 
9783319984063: Symmetriazation and Stabilization of Solutions of Nonlinear Elliptic Equations
Couverture rigide
ISBN 10 : 3319984063 ISBN 13 : 9783319984063
Editeur : Springer International Publishing AG, 2018

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer International Publishing AG
Date d'édition
2018
Langue
anglais
ISBN 10 
3319984063
ISBN 13 
9783319984063
Reliure
Relié
Nombre de pages
275
Coordonnées du fabricant
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Heidelberg
69115
Allemagne

Autres éditions populaires du même titre

9783030074913: Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations

Edition présentée

ISBN 10 :  3030074919 ISBN 13 :  9783030074913
Editeur : Springer, 2019
Couverture souple