Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations (Fields Institute Monographs, 36, Band 36) - Hardcover

Efendiev, Messoud

 
9783319984063: Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations (Fields Institute Monographs, 36, Band 36)
Hardcover
ISBN 10: 3319984063 ISBN 13: 9783319984063
Verlag: Springer, 2018

Inhaltsangabe

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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Über die Autorin bzw. den Autor

Messoud Efendiev is professor of mathematics, especially dynamical system, at the Helmholtz Center Munich, Germany.

Von der hinteren Coverseite

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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Verlag
Springer
Erscheinungsdatum
2018
Sprache
Englisch
ISBN 10 
3319984063
ISBN 13 
9783319984063
Einband
Gebundene Ausgabe
Auflage
1
Anzahl der Seiten
275
Kontakt zum Hersteller
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Deutschland

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Vorgestellte Ausgabe

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Softcover