publication list

with K. Mazowiecka
Fractional divcurl quantities and applications to nonlocal geometric equations
Preprint

with E. Lenzmann
On energycritical halfwave maps into S^2
Preprint
 2016

with E. Lenzmann
Sharp commutator estimates via harmonic extensions
Preprint

with T.T. Shieh, D. Spector
Regularity for a fractional pLaplace equation
Commun. Contemp. Math. (accepted)

with P. Strzelecki
Invitation to Hsystems in higher dimensions: known results, new facts, and related open problems
EMS Surv. Math. Sci. (accepted)
 2015

with Y. Sire, C. Wang
Weak solutions of geometric flows associated to integrodifferential harmonic maps
manuscripta math (accepted)

Nonlinear commutators for the fractional pLaplacian and applications
Math. Ann. 366(1), 695–720, (2016)

with A. Maalaoui, L. Martinazzi
Blowup behaviour of a fractional AdamsMoserTrudinger type inequality in odd dimension
Comm.PDE (accepted)

with T.T. Shieh, D. Spector
Lptheory for fractional gradient PDE with VMO coefficients
Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. (accepted)
 2014

with D. Spector, J. Van Schaftingen
An L1type estimate for Riesz potentials
Rev. Mat. Ibero 33 (2017), no. 1, 291304

with Q. Liu, X. Zhou:
A gametheoretic proof of convexity preserving properties for motion by curvature
Indiana Univ. Math. J. 65(1) (2016), 171197

with
Miroslav Bacak,
Bobo Hua,
Jürgen Jost,
Martin Kell:
A notion of nonpositive curvature for general metric spaces
Differential Geometry and its Applications (accepted)

Integrodifferential harmonic maps into spheres
Comm.PDE 40(3), 506539 (2015)

Lpgradientharmonic maps into spheres and SO(N)
Differential and Integral Equations Vol 28 (3/4), pp. 383408 (2015)
 2013

A note on zero sets of fractional sobolev functions with negative power of integrability
Proc. Amer. Math. Soc. 143 (2015), no. 3, pp. 11891197

with P. Hajłasz:
Lipschitz homotopy and density of Lipschitz mappings in Sobolev spaces
Annales Academiae Scientiarum Fennicae, 39 (2014), pp. 112

with Q. Liu:
General existence of solutions to dynamic programming principle
Comm. Pure and Applied Analysis. special issue on Emerging Trends in Nonlinear PDE, (accepted)
 2012

with P. Hajłasz, J.T. Tyson :
Homotopy groups of spheres and Lipschitz homotopy groups of Heisenberg groups
Geom. Funct. Anal. 24 (2014), pp.245268

epsilonregularity for systems involving nonlocal, antisymmetric
operators
Calc. Var. P.D.E. 54(4),35313570, (2015)

with S. Blatt, Ph. Reiter:
Harmonic analysis meets critical knots (Stationary points of the Moebius energy are smooth)
Trans. Amer. Math. Soc. 368 (2016), 63916438

with F. Da Lio:
n/pharmonic maps: regularity for the sphere case
Advances in Calculus of Variations Vol. 7, pp. 126
 2010
 A Note on Regularity for the ndimensional HSystem assuming logarithmic higher Integrability
Analysis Vol. 33, Issue 3 (2013)
 Regularity of n/2 harmonic maps into spheres (Short / Long)
Journal of Differential Equations 252 (2012) 18621911
 2009
 A Remark on Gauge Transformations and the Moving Frame Method
Ann.Institute H.Poincare (C), 27 (2010), pp. 503515
 2008
 with F. Müller:
Boundary regularity via UhlenbeckRiviere decomposition
Analysis, 29 (2009), pp. 199220
 2007
 Erhaltungssätze in der Regularitätstheorie nichtlinearer elliptischer Systeme in zwei Dimensionen
Diploma thesis, RWTH Aachen
supervisor: Prof. von der Mosel