Integro-Differential Harmonic Maps into Spheres
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Publication:5246653
DOI10.1080/03605302.2014.974059zbMath1329.58013arXiv1401.6854OpenAlexW3098834327MaRDI QIDQ5246653
Publication date: 21 April 2015
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.6854
Smoothness and regularity of solutions to PDEs (35B65) Pseudodifferential operators as generalizations of partial differential operators (35S05) Nonlinear elliptic equations (35J60) Harmonic maps, etc. (58E20) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)
Related Items (20)
Weak solutions of geometric flows associated to integro-differential harmonic maps ⋮ Nonlinear commutators for the fractional \(p\)-Laplacian and applications ⋮ On a new class of fractional partial differential equations. II ⋮ On energy-critical half-wave maps into \(\mathbb {S}^2\) ⋮ Integrability by compensation for Dirac equation ⋮ On regularity theory for \(n/p\)-harmonic maps into manifolds ⋮ Regularity for a fractional p-Laplace equation ⋮ Minimal Ws,ns$W^{s,\frac{n}{s}}$‐harmonic maps in homotopy classes ⋮ Epsilon-regularity for \(p\)-harmonic maps at a free boundary on a sphere ⋮ Deterministic KPZ-type equations with nonlocal ``gradient terms ⋮ Sharp commutator estimates via harmonic extensions ⋮ Weak solutions for the time fractional harmonic map flow ⋮ Fractional div-curl quantities and applications to nonlocal geometric equations ⋮ Interior regularity for fractional systems ⋮ Calderon-Zygmund type estimates for nonlocal PDE with Hölder continuous kernel ⋮ Limits of conformal immersions under a bound on a fractional normal curvature quantity ⋮ Nonlinear fractional Laplacian problems with nonlocal ‘gradient terms’ ⋮ Partial regularity for fractional harmonic maps into spheres ⋮ On O'Hara knot energies. I: Regularity for critical knots ⋮ Some Remarks on Pohozaev-Type Identities
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