Minimal Ws,ns$W^{s,\frac{n}{s}}$‐harmonic maps in homotopy classes

DOI10.1112/jlms.12769arXiv2006.07138MaRDI QIDQ6134897

Armin Schikorra, Katarzyna Ewa Mazowiecka

Publication date: 23 August 2023

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.07138

zbMATH Keywords

homotopy classes calculus of variations fractional harmonic map

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20)

Cites Work

Energy quantization for biharmonic maps
Modern Fourier Analysis
Some Remarks on Pohozaev-Type Identities
Fractional thoughts
Integro-Differential Harmonic Maps into Spheres
n/p-harmonic maps: Regularity for the sphere case
An Extension Problem Related to the Fractional Laplacian
Lipschitz homotopy and density of Lipschitz mappings in Sobolev spaces
Free boundary minimal surfaces: a nonlocal approach
Topology and Sobolev spaces
$\varepsilon$-regularity for systems involving non-local, antisymmetric operators
Profile decomposition and phase control for circle-valued maps in one dimension
Minimizing fractional harmonic maps on the real line in the supercritical regime
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Higher Sobolev regularity for the fractional $p$-Laplace equation in the superquadratic case
Nonlinear commutators for the fractional $p$-Laplacian and applications
Tangent-point repulsive potentials for a class of non-smooth $m$-dimensional sets in $\mathbb R^n$. I: smoothing and self-avoidance effects
Fractional harmonic maps into manifolds in odd dimension $n > 1$
On some knot energies involving Menger curvature
Hitchhiker's guide to the fractional Sobolev spaces
A fractional Gehring lemma, with applications to nonlocal equations
Menger curvature as a knot energy
Regularity and quantification for harmonic maps with free boundary
Sub-criticality of non-local Schrödinger systems with antisymmetric potentials and applications to half-harmonic maps
Intrinsic semiharmonic maps
Local Lipschitz regularity for degenerate elliptic systems
Regularity of weak solutions of $n$-dimensional $H$-systems.
Three-term commutator estimates and the regularity of $^{1}/_{2}$-harmonic maps into spheres
Regularity of $n/2$-harmonic maps into spheres
Bubble tree convergence for harmonic maps
A viscosity method in the min-max theory of minimal surfaces
Orientability and energy minimization in liquid crystal models
The Pohozaev identity for the fractional Laplacian
On removable singularities of p-harmonic maps
Boundary regularity and the Dirichlet problem for harmonic maps
Energy of a knot
An introduction to Sobolev spaces and interpolation spaces
The concentration-compactness principle in the calculus of variations. The limit case. I
A regularity theory for harmonic maps
Nonexistence of minimizing harmonic maps from 2-spheres
Convergence of solutions of H-systems or how to blow bubbles
On the evolution of harmonic mappings of Riemannian surfaces
Homotopy classes in Sobolev spaces and the existence of energy minimizing maps
Density of smooth functions between two manifolds in Sobolev spaces
Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
The existence of minimal immersions of 2-spheres
The approximation problem for Sobolev maps between two manifolds
Family of energy functionals of knots
Restrictions on harmonic maps of surfaces
Applications harmoniques de surfaces riemanniennes
Möbius energy of knots and unknots
Minimization of conformally invariant energies in homotopy classes
A regularity theory for intrinsic minimising fractional harmonic maps
Homotopy classes of Newtonian maps
On regularity theory for $n/p$-harmonic maps into manifolds
Energy identity for a class of approximate Dirac-harmonic maps from surfaces with boundary
Uniform boundedness principles for Sobolev maps into manifolds
Regular 1-harmonic flow
Fractional div-curl quantities and applications to nonlocal geometric equations
Higher Hölder regularity for the fractional $p$-Laplacian in the superquadratic case
Energy quantization for harmonic maps
Self-interactions of strands and sheets
Topology of Sobolev mappings. II.
Regularity for $n$-harmonic maps
Sobolev spaces on an arbitrary metric space
Sharp commutator estimates via harmonic extensions
A gap theorem for $\alpha$-harmonic maps between two-spheres
Limits of conformal immersions under a bound on a fractional normal curvature quantity
Partial regularity for fractional harmonic maps into spheres
On O'Hara knot energies. I: Regularity for critical knots
Epsilon-regularity for $p$-harmonic maps at a free boundary on a sphere
Energy quantization for Willmore surfaces and applications
On a fractional Ginzburg-Landau equation and 1/2-harmonic maps into spheres
Compactness and bubble analysis for 1/2-harmonic maps
Minimizing $1/2$-harmonic maps into spheres
Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps
On the evolution of regularized Dirac-harmonic maps from closed surfaces
$L^p$-gradient harmonic maps into spheres and $SO(N)$.
Nonlocal self-improving properties
Strong density for higher order Sobolev spaces into compact manifolds
A Sobolev non embedding
Invitation to $H$-systems in higher dimensions: known results, new facts, and related open problems
Min-max theory and the Willmore conjecture
Homotopy groups of spheres and Lipschitz homotopy groups of Heisenberg groups
Lipschitz homotopy groups of the Heisenberg groups
Partial regularity for stationary harmonic maps at a free boundary
Angular energy quantization for linear elliptic systems with antisymmetric potentials and applications
Density in $W^{s, p}(\operatorname{\Omega}; N)$
The problem of Plateau on a Riemannian manifold
On the free boundary variational problem for minimal disks
Harmonic analysis meets critical knots. Critical points of the Möbius energy are smooth
Min-max theory and the energy of links
A note on regularity for then-dimensional H-system assuming logarithmic higher integrability
Recent developments of analysis for hydrodynamic flow of nematic liquid crystals
Minimal Immersions of Closed Riemann Surfaces
The (𝑛+1)-Lipschitz homotopy group of the Heisenberg group ℍⁿ
Regularizing and self-avoidance effects of integral Menger curvature
Energy identity for approximations of harmonic maps from surfaces
Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
Some observations on Besov and Lizorkin-Triebel spaces.
Global curvature, thickness, and the ideal shapes of knots
A characterisation of the Besov-Lipschitz and Triebel-Lizorkin spaces using Poisson like kernels
The interplay between analysis and topology in some nonlinear PDE problems

This page was built for publication: Minimal Ws,ns$W^{s,\frac{n}{s}}$‐harmonic maps in homotopy classes