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Amann, H (2005). Maximum principles and principal eigenvalues. In: Ferrera, J; López-Gómez, J; Ruiz del Portal, F R. Ten mathematical essays on approximation in analysis and topology. Amsterdam: Elsevier, 1-60.
In this paper well-known maximum principles are extended to second order cooperative linear elliptic systems with cooperative boundary conditions in strong, weak, and very weak settings. In addition, interrelations between maximum principles and principal eigenvalues are studied in detail, as well as continuity properties of principal eigenvalues under domain perturbations.
| Item Type: | Book Section, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Uncontrolled Keywords: | Maximum principles, principal eigenvalues, cooperative systems, cooperative boundary conditions, weak and very weak solutions, domain perturbations |
| Language: | English |
| Date: | 2005 |
| Deposited On: | 01 Feb 2010 07:40 |
| Last Modified: | 07 Jan 2025 04:38 |
| Publisher: | Elsevier |
| ISBN: | 978-0-444-51861-3 |
| OA Status: | Closed |
| Free access at: | Related URL. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.1016/B978-044451861-3/50001-X |
| Related URLs: | http://user.math.uzh.ch/amann/files/mppe.pdf |
Amann, H