publication list
- 2015
-
with Y. Sire, C. Wang
Weak solutions of geometric flows associated to integro-differential harmonic maps
Preprint
-
with A. Maalaoui, L. Martinazzi
Blow-up behaviour of a fractional Adams-Moser-Trudinger type inequality in odd dimension
preprint
-
with T.T. Shieh, D. Spector
Lp-theory for fractional gradient PDE with VMO coefficients
Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. (accepted)
- 2014
-
with D. Spector, J. Van Schaftingen
An L1-type estimate for Riesz potentials
Rev. Mat. Ibero (accepted)
-
with Q. Liu, X. Zhou:
A game-theoretic proof of convexity preserving properties for motion by curvature
Indiana Univ. Math. J.(accepted)
-
with
Miroslav Bacak,
Bobo Hua,
Jürgen Jost,
Martin Kell:
A notion of nonpositive curvature for general metric spaces
Differential Geometry and its Applications (accepted)
-
Integro-differential harmonic maps into spheres
Comm.PDE 40(3), 506-539 (2015)
-
Lp-gradient-harmonic maps into spheres and SO(N)
Differential and Integral Equations Vol 28 (3/4), pp. 383-408 (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. 1189-1197
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with P. Hajłasz:
Lipschitz homotopy and density of Lipschitz mappings in Sobolev spaces
Annales Academiae Scientiarum Fennicae, 39 (2014), pp. 1-12
-
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.245-268
-
epsilon-regularity for systems involving non-local, antisymmetric
operators
Calc. Var. P.D.E. 54(4),3531-3570, (2015)
-
with S. Blatt, Ph. Reiter:
Harmonic analysis meets critical knots (Stationary points of the Moebius energy are smooth)
Trans.AMS (accepted)
-
with F. Da Lio:
n/p-harmonic maps: regularity for the sphere case
Advances in Calculus of Variations Vol. 7, pp. 1-26
- 2010
- A Note on Regularity for the n-dimensional H-System 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) 1862--1911
- 2009
- A Remark on Gauge Transformations and the Moving Frame Method
Ann.Institute H.Poincare (C), 27 (2010), pp. 503-515
- 2008
- with F. Müller:
Boundary regularity via Uhlenbeck-Riviere decomposition
Analysis, 29 (2009), pp. 199-220
- 2007
- Erhaltungssätze in der Regularitätstheorie nichtlinearer elliptischer Systeme in zwei Dimensionen
Diploma thesis, RWTH Aachen
supervisor: Prof. von der Mosel