Morrison-Taheri2020_Article_TheInterplayBetweenTwoEulerLag.pdf (702.09 kB)
The interplay between two Euler-Lagrange operators relating to the nonlinear elliptic system S[(u, P), ?]
Version 2 2023-06-12, 09:28
Version 1 2023-06-09, 21:33
journal contribution
posted on 2023-06-12, 09:28 authored by George Morrison, Ali TaheriAli TaheriWe 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 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.
History
Publication status
- Published
File Version
- Published version
Journal
Advances in Operator TheoryISSN
2662-2009Publisher
Springer BirkhauserExternal DOI
Volume
6Page range
1-28Article number
a17Department affiliated with
- Mathematics Publications
Research groups affiliated with
- Analysis and Partial Differential Equations Research Group Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2020-09-11First Open Access (FOA) Date
2020-09-11First Compliant Deposit (FCD) Date
2020-09-11Usage metrics
Categories
No categories selectedKeywords
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC