| 書目名稱 | Existence and Regularity Results for Some Shape Optimization Problems |
| 編輯 | Bozhidar Velichkov |
| 視頻video | http://file.papertrans.cn/319/318555/318555.mp4 |
| 概述 | Provides a detailed and self-contained introduction to the recent results and techniques in shape optimization.Presents new techniques concerning the regularity of the optimal sets.Self-contained expo |
| 叢書名稱 | Publications of the Scuola Normale Superiore |
| 圖書封面 |  |
| 描述 | ?We study the existence and regularity of optimal domains for functionals depending on the spectrum of the Dirichlet Laplacian or of?more general Schr?dinger operators. The domains are subject to perimeter and volume constraints; we also take into account the possible presence of geometric obstacles. We investigate the properties of the optimal sets and of the optimal state functions. In particular, we prove that the eigenfunctions are Lipschitz continuous up to the boundary and that the optimal sets subject to the perimeter constraint have regular free boundary. We also consider spectral optimization problems in non-Euclidean settings and optimization problems for potentials and measures, as well as multiphase and optimal partition problems.? |
| 出版日期 | Book 2015 |
| 關(guān)鍵詞 | Schr?dinger operators; eigenfunctions; optimal sets; optimal state functions; spectral optimization prob |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-88-7642-527-1 |
| isbn_softcover | 978-88-7642-526-4 |
| isbn_ebook | 978-88-7642-527-1Series ISSN 2239-1460 Series E-ISSN 2532-1668 |
| issn_series | 2239-1460 |
| copyright | Scuola Normale Superiore Pisa 2015 |
|Archiver|手機(jī)版|小黑屋|
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