Annular rearrangements, incompressible axi-symmetric whirls and \(L^1\)-local minimisers of the distortion energy
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Publication:1705175
DOI10.1007/s00030-017-0485-3zbMath1393.35037OpenAlexW2773334001MaRDI QIDQ1705175
Publication date: 14 March 2018
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00030-017-0485-3
Variational methods for elliptic systems (35J50) Boundary value problems for second-order elliptic systems (35J57)
Related Items (10)
On a class of stationary loops on \(\mathbf{SO}(n)\) and the existence of multiple twisting solutions to a nonlinear elliptic system subject to a hard incompressibility constraint ⋮ Whirl mappings on generalised annuli and the incompressible symmetric equilibria of the Dirichlet energy ⋮ On multiple solutions to a family of nonlinear elliptic systems in divergence form coupled with an incompressibility constraint ⋮ Geodesics on \(\mathrm{SO}(n)\) and a class of spherically symmetric maps as solutions to a nonlinear generalised harmonic map problem ⋮ Topology of twists, extremising twist paths and multiple solutions to the nonlinear system in variation \(\mathscr{L}[u = \nabla \mathscr{P}\)] ⋮ A class of extremising sphere-valued maps with inherent maximal tori symmetries in \(\mathbf{SO}(n)\) ⋮ The interplay between two Euler-Lagrange operators relating to the nonlinear elliptic system \(\Sigma [(u, {\mathscr{P}}), \varOmega\)] ⋮ On the uniqueness and monotonicity of energy minimisers in the homotopy classes of incompressible mappings and related problems ⋮ An infinite scale of incompressible twisting solutions to the nonlinear elliptic system \(\mathcal{L} [u; \mathsf{A}, \mathsf{B} = \nabla \mathcal{P}\) and the discriminant \(\varDelta(h, g)\)] ⋮ On the existence and multiplicity of topologically twisting incompressible $H$-harmonic maps and a structural H-condition
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