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portada Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations (Fields Institute Monographs)
Type
Physical Book
Publisher
Author
Year
2018
Language
English
Pages
258
Format
Hardcover
ISBN13
9783319984063
Edition No.
1
Categories

Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations (Fields Institute Monographs)

Messoud Efendiev (Author) · Springer · Hardcover

Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations (Fields Institute Monographs) - Messoud Efendiev

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Synopsis "Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations (Fields Institute Monographs) "

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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