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Symmetrization and stabilization of solutions of nonlinear elliptic equations
- 作者： Efendiev, Messoud, author.
- 其他作者：
- 其他題名：
- Fields institute monographs ;
- 出版： Cham : Springer International Publishing :Imprint: Springer
- 叢書名： Fields institute monographs,volume 36
- 主題： Differential equations, Elliptic. , Differential equations, Nonlinear. , Partial Differential Equations. , Dynamical Systems and Ergodic Theory.
- ISBN： 9783319984070 (electronic bk.) 、 9783319984063 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 摘要註: 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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讀者標籤：
- 系統號： 005439051 | 機讀編目格式
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