Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations

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Éditeur :

Springer


Collection :

Fields Institute Monographs

Paru le : 2018-10-17

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Description
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.
Pages
258 pages
Collection
Fields Institute Monographs
Parution
2018-10-17
Marque
Springer
EAN papier
9783319984063
EAN PDF
9783319984070

Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
25
Taille du fichier
3318 Ko
Prix
94,94 €
EAN EPUB
9783319984070

Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
25
Taille du fichier
18309 Ko
Prix
94,94 €