| 书目名称 | Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations |
| 编辑 | Messoud Efendiev |
| 视频video | |
| 概述 | Contains new Liouville type results.Compares two different approaches.Characterizes asymptotics profile of solutions |
| 丛书名称 | Fields Institute Monographs |
| 图书封面 |  |
| 描述 | 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. |
| 出版日期 | Book 2018 |
| 关键词 | Sobolev spaces; Nemytskii operator; trajectory attractor; Laplace operator; symmetry and attractors; stab |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-98407-0 |
| isbn_softcover | 978-3-030-07491-3 |
| isbn_ebook | 978-3-319-98407-0Series ISSN 1069-5273 Series E-ISSN 2194-3079 |
| issn_series | 1069-5273 |
| copyright | Springer Nature Switzerland AG 2018 |
发表于 2025-3-21 19:19:48
