Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps
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Publication:2297977
DOI10.1515/anona-2020-0047zbMath1437.58008arXiv1811.01706OpenAlexW3102171907MaRDI QIDQ2297977
Publication date: 20 February 2020
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.01706
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Degree, winding number (55M25) de Rham theory in global analysis (58A12) Homotopy theory (55P99) Holomorphic maps on manifolds (58C10) Hopf invariants (55Q25)
Related Items (5)
Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains ⋮ Minimal Ws,ns$W^{s,\frac{n}{s}}$‐harmonic maps in homotopy classes ⋮ An estimate of the Hopf degree of fractional Sobolev mappings ⋮ Quantitative estimates for fractional Sobolev mappings in rational homotopy groups ⋮ Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Minimizing sequences for conformally invariant integrals of higher order
- Estimates for the topological degree and related topics
- Some inequalities related to Sobolev norms
- \(\Gamma\)-convergence, Sobolev norms, and BV functions
- A new estimate for the topological degree
- On a new class of functions related to VMO
- Sobolev mappings, degree, homotopy classes and rational homology spheres
- Vortices in the magnetic Ginzburg-Landau model
- Inequalities related to liftings and applications
- Functional analysis, Sobolev spaces and partial differential equations
- Infima of energy functionals in homotopy classes of mappings
- The existence of minimal immersions of 2-spheres
- A boundary value problem related to the Ginzburg-Landau model
- Elementary geometry in hyperbolic space
- Obstruction theory on homotopy classification of maps
- Minimizing fibrations and \(p\)-harmonic maps in homotopy classes from \(S^3\) into \(S^2\)
- Lower bounds for the energy of unit vector fields and applications
- Minimization of conformally invariant energies in homotopy classes
- Minimizing area among Lagrangian surfaces: the mapping problem.
- A refined estimate for the topological degree
- New characterizations of magnetic Sobolev spaces
- A fractional order Hardy inequality
- Topology of Sobolev mappings. II.
- Degree theory of BMO. I: Compact manifolds without boundaries
- Global gauges and global extensions in optimal spaces
- \(\Gamma \)-convergence and Sobolev norms
- Optimal constant in a new estimate for the degree
- Further characterizations of Sobolev spaces
- Some new characterizations of Sobolev spaces
- Homotopy classes of harmonic maps of the stratified 2-spheres and applications to geometric flows
- Topology of Sobolev mappings. IV
- Homologie singulière des espaces fibrés. Applications
- Compositional Methods in Homotopy Groups of Spheres. (AM-49)
- Riemannian Geometry
- Lower Bounds for Generalized Ginzburg--Landau Functionals
- Topology of Sobolev mappings III
- Topology and Sobolev spaces
- Controlled Singular Extension of Critical Trace Sobolev Maps from Spheres to Compact Manifolds
- Lifting, degree, and distributional Jacobian revisited
- An estimate of the Hopf degree of fractional Sobolev mappings
- Functional Analysis
- Weakly differentiable mappings between manifolds
- Flat Chains Over a Finite Coefficient Group
- An Expression of Hopf's Invariant as an Integral
- Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
- Compactness for maps minimizing the \(n\)-energy under a free boundary constraint
- Topology and Sobolev spaces
- Topology of Sobolev mappings
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