Quantitative estimates for fractional Sobolev mappings in rational homotopy groups
From MaRDI portal
Publication:6171639
DOI10.1016/j.na.2023.113349zbMath1530.55011arXiv2207.04207MaRDI QIDQ6171639
Woongbae Park, Armin Schikorra
Publication date: 14 August 2023
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.04207
Rational homotopy theory (55P62) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) de Rham theory in global analysis (58A12) Hopf invariants (55Q25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Connecting rational homotopy type singularities
- Sobolev critical exponents of rational homotopy groups
- A regularity theory for harmonic maps
- Infinitesimal computations in topology
- Minimizing fibrations and \(p\)-harmonic maps in homotopy classes from \(S^3\) into \(S^2\)
- Gagliardo-Nirenberg inequalities and non-inequalities: the full story
- Degree theory of BMO. I: Compact manifolds without boundaries
- Sharp commutator estimates via harmonic extensions
- Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps
- Hölder-topology of the Heisenberg group
- Degree theory and BMO. II: Compact manifolds with boundaries. (Appendix with Petru Mironescu)
- Homotopy groups of spheres and Lipschitz homotopy groups of Heisenberg groups
- Homologie singulière des espaces fibrés. Applications
- The analytic generalized Hopf invariant. Many-valued functionals
- Lifting, degree, and distributional Jacobian revisited
- An estimate of the Hopf degree of fractional Sobolev mappings
This page was built for publication: Quantitative estimates for fractional Sobolev mappings in rational homotopy groups