Please use this identifier to cite or link to this item:
doi:10.22028/D291-43613 | Title: | Variants of Bernstein’s theorem for variational integrals with linear and nearly linear growth |
| Author(s): | Bildhauer, Michael Fuchs, Martin |
| Language: | English |
| Title: | Ricerche di Matematica |
| Volume: | 73 |
| Issue: | 5 |
| Pages: | 2911-2923 |
| Publisher/Platform: | Springer Nature |
| Year of Publication: | 2024 |
| Free key words: | Bernstein’s theorem Non-parametric minimal surfaces Variational problems with (nearly) linear growth Equations in two variables |
| DDC notations: | 510 Mathematics |
| Publikation type: | Journal Article |
| Abstract: | Using a Caccioppoli-type inequality involving negative exponents for a directional weight we establish variants of Bernstein’s theorem for variational integrals with linear and nearly linear growth. We give some mild conditions for entire solutions of the equation. |
| DOI of the first publication: | 10.1007/s11587-024-00857-6 |
| URL of the first publication: | https://link.springer.com/article/10.1007/s11587-024-00857-6 |
| Link to this record: | urn:nbn:de:bsz:291--ds-436139 hdl:20.500.11880/39068 http://dx.doi.org/10.22028/D291-43613 |
| ISSN: | 1827-3491 0035-5038 |
| Date of registration: | 29-Nov-2024 |
| Faculty: | MI - Fakultät für Mathematik und Informatik |
| Department: | MI - Mathematik |
| Professorship: | MI - Prof. Dr. Martin Fuchs |
| Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
Files for this record:
| File | Description | Size | Format | |
|---|---|---|---|---|
| s11587-024-00857-6.pdf | 256,58 kB | Adobe PDF | View/Open |
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