Energy quantization for harmonic maps
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Publication:1847890
DOI10.1215/S0012-7094-02-11116-8zbMath1014.58008OpenAlexW2009322730MaRDI QIDQ1847890
Publication date: 27 October 2002
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-02-11116-8
Related Items (26)
The qualitative behavior for 𝛼-harmonic maps from a surface with boundary into a sphere ⋮ Global estimates and energy identities for elliptic systems with antisymmetric potentials ⋮ On the existence of minimizers for the neo-Hookean energy in the axisymmetric setting ⋮ \(L^p\) regularity theory for even order elliptic systems with antisymmetric first order potentials ⋮ Energy identity for stationary Yang Mills ⋮ Two results on the equivariant Ginzburg-Landau vortex in arbitrary dimension ⋮ The qualitative behavior at the free boundary for approximate harmonic maps from surfaces ⋮ Minimal Ws,ns$W^{s,\frac{n}{s}}$‐harmonic maps in homotopy classes ⋮ Energy identity of approximate biharmonic maps to Riemannian manifolds and its application ⋮ On Serrin’s overdetermined problem and a conjecture of Berestycki, Caffarelli and Nirenberg ⋮ Pseudo-holomorphic curves: a very quick overview ⋮ Conservation laws for conformally invariant variational problems ⋮ The Variations of Yang–Mills Lagrangian ⋮ Energy concentration for the Landau-Lifshitz equation ⋮ Quantization of time-like energy for wave maps into spheres ⋮ Energy quantization for Willmore surfaces and applications ⋮ Remarks on approximate harmonic maps in dimension two ⋮ Energy identity for approximations of harmonic maps from surfaces ⋮ Regularity and energy quantization for the Yang-Mills-Dirac equations on 4-manifolds ⋮ Fourth order approximation of harmonic maps from surfaces ⋮ Symmetry of local minimizers for the three-dimensional Ginzburg-Landau functional ⋮ Energy quantization of Willmore surfaces at the boundary of the moduli space ⋮ Energy identity and necklessness for \(\alpha\)-Dirac-harmonic maps into a sphere ⋮ Energy concentration for almost harmonic maps and the Willmore functional ⋮ Uniform profile near the point defect of Landau-de Gennes model ⋮ Harmonic and quasi-harmonic spheres. III: Rectifiability of the parabolic defect measure and generalized varifold flows
Cites Work
- Bubble tree convergence for harmonic maps
- The Dirichlet energy of mappings with values into the sphere
- The existence of minimal immersions of 2-spheres
- Partial regularity for stationary harmonic maps into spheres
- Pseudo-holomorphic maps and bubble trees
- Mapping problems, fundamental groups and defect measures
- Gradient estimates and blow-up analysis for stationary harmonic maps
- On the singular set of stationary harmonic maps
- Quantization effects for \(-\Delta u=u(1-| u|^ 2)\) in \(\mathbb{R}^ 2\)
- Minimization of conformally invariant energies in homotopy classes
- Energy identity of harmonic map flows from surfaces at finite singular time
- On singularities of the heat flow for harmonic maps from surfaces into spheres
- Energy identity for a class of approximate harmonic maps from surfaces
- Bubbling phenomena of Palais-Smale-like sequences of \(m\)-harmonic type systems
- A quantization property for static Ginzburg-Landau vortices
- Gromov's Compactness Theorem for Pseudo Holomorphic Curves
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