An obstacle problem for elastic curves: existence results
- We consider an obstacle problem for elastic curves with fixed ends. We attempt to extend the graph approach provided in [8]. More precisely, we investigate nonexistence of graph solutions for special obstacles and extend the class of admissible curves in a way that an existence result can be obtained by a penalization argument.
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| Author: | Marius MüllerGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-1282016 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/128201 |
| ISSN: | 1463-9963OPAC |
| Parent Title (English): | Interfaces and Free Boundaries |
| Publisher: | EMS - Publishing House |
| Place of publication: | Berlin |
| Type: | Article |
| Language: | English |
| Date of Publication (online): | 2026/02/14 |
| Year of first Publication: | 2019 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2026/02/16 |
| Volume: | 21 |
| Issue: | 1 |
| First Page: | 87 |
| Last Page: | 129 |
| DOI: | https://doi.org/10.4171/IFB/418 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Nichtlineare Analysis | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Licence (German): |  Deutsches Urheberrecht |
