Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations: 36 (Fields Institute Monographs, 36) - Tapa dura

Efendiev, Messoud

 
9783319984063: Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations: 36 (Fields Institute Monographs, 36)

Sinopsis

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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De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Otras ediciones populares con el mismo título

9783030074913: Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations: 36 (Fields Institute Monographs)

Edición Destacada

ISBN 10:  3030074919 ISBN 13:  9783030074913
Editorial: Springer, 2019
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