Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations: 36 - Rilegato

Efendiev, Messoud

 
9783319984063: Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations: 36
Rilegato
ISBN 10: 3319984063 ISBN 13: 9783319984063
Casa editrice: Springer Nature, 2018

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Dalla quarta di copertina

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer Nature
Data di pubblicazione
2018
Lingua
Inglese
ISBN 10 
3319984063
ISBN 13 
9783319984063
Rilegatura
Copertina rigida
Numero edizione
1
Numero di pagine
258
Contatto del produttore
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Germania

Altre edizioni note dello stesso titolo

9783030074913: Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations: 36

Edizione in evidenza

ISBN 10:  3030074919 ISBN 13:  9783030074913
Casa editrice: Springer, 2019
Brossura