Symmetry via maximum principles for nonlocal nonlinear boundary value problems
- In the qualitative analysis of solutions of partial differential equations, many interesting questions are related to the shape of solutions. In particular, the symmetries of a given solution are of interest. One of the first more general results in this direction was given in 1979 by Gidas, Ni and Nirenberg... The main tool in proving this symmetry and monotonicity result is the moving plane method. This method, which goes back to Alexandrov’s work on constant mean curvature surfaces in 1962, was introduced in 1971 by Serrin in the context of partial differential equations to analyze an overdetermined problem...
| Author: | Sven Jarohs |
|---|---|
| URN: | urn:nbn:de:hebis:30:3-395297 |
| Place of publication: | Frankfurt am Main |
| Referee: | Tobias WethORCiDGND, Moritz Kaßmann |
| Advisor: | Tobias Weth |
| Document Type: | Doctoral Thesis |
| Language: | English |
| Date of Publication (online): | 2016/02/18 |
| Year of first Publication: | 2015 |
| Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
| Granting Institution: | Johann Wolfgang Goethe-Universität |
| Date of final exam: | 2015/12/03 |
| Release Date: | 2016/02/18 |
| Page Number: | 130 |
| HeBIS-PPN: | 370315952 |
| Institutes: | Informatik und Mathematik / Mathematik |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Sammlungen: | Universitätspublikationen |
| Licence (German): |  Deutsches Urheberrecht |
