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We investigate a fractional notion of gradient and divergence operator.
An existence theorem for surfaces of constant mean curvature
H. C. Wente · 1969
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L. Tartar · 1978
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Regularity of weakly harmonic maps from a surface into a manifold with symmetries
F. Hélein · 1991
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F. Bethuel · 1992
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Pointwise inequalities for Sobolev functions and some applications
B. Bojarski and P. Hajłasz · 1993
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Compensated compactness and Hardy spaces
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E. M. Stein · 1993
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S. Semmes · 1994
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Some conformal properties of p p -harmonic maps and a regularity for sphere-valued p p -harmonic maps
H. Takeuchi · 1994
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T. Toro and C. Wang · 1995
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Three-term commutator estimates and the regularity of 1 2 \frac{1}{2} -harmonic maps into spheres
F. Da Lio and T. Rivière · 2011
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Fractional harmonic maps into manifolds in odd dimension n > 1 n>1
F. Da Lio · 2013
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Classical Fourier analysis
L. Grafakos · 2014
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Magnetic energies and Fey-Kac-Itô formulas for symmetric Markov processes
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Nonlocal equations with measure data
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Sobolev spaces of fractional order, Nemytskij operators, and nonlinear partial differential equations
T. Runst and W. Sickel · 1996
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Theorems on regularity and singularity of energy minimizing maps
L. Simon · 1996
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Partial regularity for stationary harmonic maps at a free boundary
Ch. Scheven · 2006
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Conservation laws for conformally invariant variational problems
T. Rivière · 2007
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On a fractional Ginzburg-Landau equation and 1/2-harmonic maps into spheres
V. Millot and Y. Sire · 2015
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Integro-differential harmonic maps into spheres
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ε \varepsilon -regularity for systems involving non-local, antisymmetric operators
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Weak solutions of geometric flows associated to integro-differential harmonic maps
A. Schikorra, Y. Sire, and C. Wang · 2015
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Harmonic analysis meets critical knots. Critical points of the Möbius energy are smooth
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Horizontal α \alpha -harmonic maps
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Local behavior of fractional p p -minimizers
A. Di Castro, T. Kuusi, and G. Palatucci · 2016
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Sharp commutator estimates via harmonic extensions
E. Lenzmann and A. Schikorra · 2016
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Nonlinear commutators for the fractional p p -Laplacian and applications
A. Schikorra · 2016
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Invitation to H-systems in higher dimensions: known results, new facts, and related open problems
A. Schikorra and P. Strzelecki · 2016
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Higher Sobolev regularity for the fractional p p -Laplace equation in the superquadratic case
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