A regularity theory for intrinsic minimising fractional harmonic maps
From MaRDI portal
Publication:1656499
DOI10.1007/s00526-018-1384-0zbMath1397.31001OpenAlexW2810694371WikidataQ129648810 ScholiaQ129648810MaRDI QIDQ1656499
Publication date: 10 August 2018
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-018-1384-0
Smoothness and regularity of solutions to PDEs (35B65) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Fractional partial differential equations (35R11)
Related Items (5)
Regularity for parabolic systems with critical growth in the gradient and applications ⋮ Partial regularity of the heat flow of half-harmonic maps and applications to harmonic maps with free boundary ⋮ Minimal Ws,ns$W^{s,\frac{n}{s}}$‐harmonic maps in homotopy classes ⋮ Partial regularity for fractional harmonic maps into spheres ⋮ Partial regularity for harmonic maps into spheres at a singular or degenerate free boundary
Cites Work
- Fractional harmonic maps into manifolds in odd dimension \(n > 1\)
- A new obstruction to the extension problem for Sobolev maps between manifolds
- Sub-criticality of non-local Schrödinger systems with antisymmetric potentials and applications to half-harmonic maps
- Intrinsic semiharmonic maps
- Three-term commutator estimates and the regularity of \(^{1}/_{2}\)-harmonic maps into spheres
- Regularity of \(n/2\)-harmonic maps into spheres
- The imbedding problem for Riemannian manifolds
- Variational problems with free boundaries for the fractional Laplacian
- A regularity theory for harmonic maps
- A monotonicity formula for Yang-Mills fields
- Convergence of minimizers for the \(p\)-Dirichlet integral
- Everywhere discontinuous harmonic maps into spheres
- Nonlinear potential theory and weighted Sobolev spaces
- Interior and boundary monotonicity formulas for stationary harmonic maps
- On a fractional Ginzburg-Landau equation and 1/2-harmonic maps into spheres
- Conservation laws for conformally invariant variational problems
- Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
- The problem of Plateau on a Riemannian manifold
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- The local regularity of solutions of degenerate elliptic equations
- Partially constrained boundary conditions with energy minimizing mappings
- An optimal estimate for the singular set of a harmonic map in the free boundary.
- n/p-harmonic maps: Regularity for the sphere case
- An Extension Problem Related to the Fractional Laplacian
- Riemannian geometry and geometric analysis
- \(\varepsilon\)-regularity for systems involving non-local, antisymmetric operators
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A regularity theory for intrinsic minimising fractional harmonic maps
