Global estimates and energy identities for elliptic systems with antisymmetric potentials
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Publication:3188107
DOI10.1080/03605302.2015.1116559zbMath1352.35036arXiv1404.7709OpenAlexW2330175831WikidataQ59894255 ScholiaQ59894255MaRDI QIDQ3188107
Publication date: 16 August 2016
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.7709
Critical exponents in context of PDEs (35B33) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Harmonic maps, etc. (58E20) Second-order elliptic systems (35J47) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
Related Items
Regularity at the free boundary for approximate H-surfaces in Riemannian manifolds ⋮ Energy identity for approximate harmonic maps from surfaces to general targets ⋮ \(L^p\) regularity theory for even order elliptic systems with antisymmetric first order potentials ⋮ The qualitative behavior at the free boundary for approximate harmonic maps from surfaces ⋮ The Lamm-Rivière system. I: \(L^p\) regularity theory ⋮ Remarks on approximate harmonic maps in dimension two ⋮ Pointwise expansion of degenerating immersions of finite total curvature ⋮ \(L^p\)-regularity for fourth order elliptic systems with antisymmetric potentials in higher dimensions
Cites Work
- Unnamed Item
- \(W^{2,2}\)-conformal immersions of a closed Riemann surface into \(\mathbb{R}^n\)
- No neck for approximate harmonic maps to the sphere
- Immersed spheres of finite total curvature into manifolds
- Rectifiable-Reifenberg and the regularity of stationary and minimizing harmonic maps
- Bubble tree convergence for harmonic maps
- Conformally invariant variational integrals and the removability of isolated singularities
- Harmonic maps from degenerating Riemann surfaces
- Width and finite extinction time of Ricci flow
- A regularity theory for harmonic maps
- The existence of minimal immersions of 2-spheres
- Partial regularity for stationary harmonic maps into spheres
- Compactification of moduli space of harmonic mappings
- Gradient estimates and blow-up analysis for stationary harmonic maps
- On the singular set of stationary harmonic maps
- Minimization of conformally invariant energies in homotopy classes
- Energy identity of harmonic map flows from surfaces at finite singular time
- Energy quantization for harmonic maps
- Harmonic and quasi-harmonic spheres. II.
- Interpolation spaces and energy quantization for Yang-Mills fields
- On singularities of the heat flow for harmonic maps from surfaces into spheres
- Energy identity for a class of approximate harmonic maps from surfaces
- Energy quantization for Willmore surfaces and applications
- Conservation laws for conformally invariant variational problems
- Fourth order approximation of harmonic maps from surfaces
- Critical \(\bar\partial\) problems in one complex dimension and some remarks on conformally invariant variational problems in two real dimensions
- Angular energy quantization for linear elliptic systems with antisymmetric potentials and applications
- An existence theorem for surfaces of constant mean curvature
- A quantization property for static Ginzburg-Landau vortices
- Decay estimates for Rivière’s equation, with applications to regularity and compactness
- Estimates for the energy density of critical points of a class of conformally invariant variational problems
- Bubble tree of branched conformal immersions and applications to the Willmore functional
- SMALL ENERGY COMPACTNESS FOR APPROXIMATE HARMONIC MAPPINGS
- Bubbling of the heat flows for harmonic maps from surfaces
- A Quantization Property for Moving Line Vortices
- Quantitative Stratification and the Regularity of Harmonic Maps and Minimal Currents
- Partial regularity for harmonic maps and related problems