The interplay between two Euler-Lagrange operators relating to the nonlinear elliptic system Σ[(u, P), Ω]

Morrison, George and Taheri, Ali (2020) The interplay between two Euler-Lagrange operators relating to the nonlinear elliptic system Σ[(u, P), Ω]. Advances in Operator Theory, 6. a17 1-28. ISSN 2662-2009

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Abstract

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 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.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Research Centres and Groups: Analysis and Partial Differential Equations Research Group
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SWORD Depositor: Mx Elements Account
Depositing User: Mx Elements Account
Date Deposited: 11 Sep 2020 07:56
Last Modified: 18 Jan 2021 15:30
URI: http://sro.sussex.ac.uk/id/eprint/93702

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