Generalised twists, stationary loops, and the Dirichlet energy over a space of measure preserving maps
From MaRDI portal
Publication:1017978
DOI10.1007/s00526-008-0202-5zbMath1160.49040OpenAlexW1975280560MaRDI QIDQ1017978
Ali Taheri, Mohammad Sadegh Shahrokhi-Dehkordi
Publication date: 13 May 2009
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-008-0202-5
Regularity of solutions in optimal control (49N60) Variational methods for second-order elliptic equations (35J20)
Related Items (17)
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 ⋮ \(\sigma_2\)-energy as a polyconvex functional on a space of self-maps of annuli in the multi-dimensional calculus of variations ⋮ 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 \(\mathscr{L}[u = \nabla \mathscr{P}\)] ⋮ The existence of multiple topologically distinct solutions to \(\sigma_{2, p}\)-energy ⋮ On Weyl's asymptotics and remainder term for the orthogonal and unitary groups ⋮ Annular rearrangements, incompressible axi-symmetric whirls and \(L^1\)-local minimisers of the distortion energy ⋮ The interplay between two Euler-Lagrange operators relating to the nonlinear elliptic system \(\Sigma [(u, {\mathscr{P}}), \varOmega\)] ⋮ Spherical twists as the \(\sigma_{2}\) harmonic maps from \(n\)-dimensional annuli into \(\mathbb {S}^{n-1}\) ⋮ On the uniqueness and monotonicity of energy minimisers in the homotopy classes of incompressible mappings and related problems ⋮ Twist maps as energy minimisers in homotopy classes: symmetrisation and the coarea formula ⋮ 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 \(\varDelta(h, g)\)] ⋮ GENERALIZED TWISTS AS ELASTIC ENERGY EXTREMALS ON ANNULI, QUATERNIONS AND LIFTING TWIST LOOPS TO THE SPINOR GROUPS ⋮ Generalised twists, \(\mathrm {SO}(n)\), and the \(p\)-energy over a space of measure preserving maps ⋮ On the existence and multiplicity of topologically twisting incompressible $H$-harmonic maps and a structural H-condition
Cites Work
- Unnamed Item
- Unnamed Item
- Local minimizers and quasiconvexity -- the impact of topology
- Generalised twists, \(\mathrm {SO}(n)\), and the \(p\)-energy over a space of measure preserving maps
- Minimizing the Dirichlet energy over a space of measure preserving maps
- Convexity conditions and existence theorems in nonlinear elasticity
- On the partial regularity of energy-minimizing, area-preserving maps
- Maximum Principles And A priori Estimates For An Incompressible Material In Nonlinear Elasticity
- Braids, Links, and Mapping Class Groups. (AM-82)
This page was built for publication: Generalised twists, stationary loops, and the Dirichlet energy over a space of measure preserving maps
