Academic Journal
The interplay between two Euler–Lagrange operators relating to the nonlinear elliptic system $$\Sigma [(u, {\mathscr {P}}), \varOmega ]$$
| Title: | The interplay between two Euler–Lagrange operators relating to the nonlinear elliptic system $$\Sigma [(u, {\mathscr {P}}), \varOmega ]$$ |
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| Authors: | George Morrison, Ali Taheri |
| Source: | Advances in Operator Theory. 6 |
| Publisher Information: | Springer Science and Business Media LLC, 2020. |
| Publication Year: | 2020 |
| Subject Terms: | 0101 mathematics, 16. Peace & justice, 01 natural sciences |
| Description: | We establish the existence of multiple whirling solutions to a class of nonlinear elliptic systems in variational form subject to pointwise gradient constraint and pure Dirichlet type boundary conditions. A reduced system for certain $$\mathbf{SO}(n)$$ SO ( n ) -valued matrix fields, a description of its solutions via Lie exponentials, a structure theorem for multi-dimensional curl free vector fields and a remarkable explicit relation between two Euler–Lagrange operators of constrained and unconstrained types are the underlying tools and ideas in proving the main result. |
| Document Type: | Article Other literature type |
| Language: | English |
| ISSN: | 2538-225X 2662-2009 |
| DOI: | 10.1007/s43036-020-00100-7 |
| Access URL: | https://link.springer.com/content/pdf/10.1007/s43036-020-00100-7.pdf https://link.springer.com/article/10.1007/s43036-020-00100-7 https://link.springer.com/content/pdf/10.1007/s43036-020-00100-7.pdf http://sro.sussex.ac.uk/id/eprint/93702/ |
| Rights: | CC BY |
| Accession Number: | edsair.doi.dedup.....d8d3e535c9d7fcdba3f2cb15330c5f99 |
| Database: | OpenAIRE |
| ISSN: | 2538225X 26622009 |
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| DOI: | 10.1007/s43036-020-00100-7 |