# Publications

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### Non-blowup at critical exponent for a semilinear nonlocal diffusion equation

Appl. Math. Lett. 116 (2021)

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### On the Calderon-Zygmund property of Riesz-transform type operators arising in nonlocal equations

Comm.Pure Applied Anal. (accepted)

preprint

### On a Fractional Version of a Murat Compactness Result and Applications

SIAM Journal on Mathematical Analysis (accepted)

### Calderon-Zygmund type estimates for nonlocal PDE with Hoelder continuous kernel

Advances in Mathematics 383 (2021), 107692

### Partial Regularity for fractional harmonic maps into spheres

Arch.Rat.Mech.Anal. (accepted)

### On symmetry of traveling solitary waves for dispersion generalized NLS

Nonlinearity 33 (2020), no. 6, 2797–2819

### W(s,n/s)-maps with positive distributional Jacobians

Pot.A. (accepted)

### On O'hara knot energies I: Regularity for critical knots

Journal Differential Geometry (accepted)

### An estimate of the Hopf degree of fractional Sobolev mappings

Proc.AMS 148 (2020), 2877–2891

### On BMO and Carleson measures on Riemannian Manifolds

International Mathematics Research Notices

Preprint

### Limits of conformal immersions under a bound on a fractional normal curvature quantity

Vietnam Journal of Mathematics (Special Issue on the occasion of J. Jost’s birthday), accepted

Preprint

### On C^{1,alpha}-regularity for critical points of a geometric obstacle-type problem

J. Math. Pures Appl. (9) 136 (2020)

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### Holder-Topology of the Heisenberg group

Aequationes mathematicae, 94(2), 323–343

### Three examples of Sharp Commutator Estimates via Harmonic Extensions

Taiwanese Journal of Mathematics - Volume 23, Number 6 (2019), 1365-1388.

### Higher Hölder regularity for the fractional p−Laplacian in the superquadratic case

Adv. Math. 338 (2018), pp. 782-846

DeGruyter

### On regularity theory for n/p-harmonic maps into manifolds

Nonlinear Analysis 165 (2017), pp. 182-197

### Epsilon-regularity for p-harmonic maps at a free boundary on a sphere

APDE, Vol. 13 (2020), No. 5, 1301–1331

### Boundary equations and regularity theory for geometric variational systems with Neumann data

Arch. Rat. Mech. Anal 229(2), pp. 709-788, 2018

### Fractional div-curl quantities and applications to nonlocal geometric equations

J. Funct. Anal. 275 (2018), no. 1, 1–44.

### On energy-critical half-wave maps into S^2

Invent. Math. 213 (2018), no. 1, 1–82

### Sharp commutator estimates via harmonic extensions

Nonlinear Analysis, 193, April 2020

### Regularity for a fractional p-Laplace equation

Commun. Contemp. Math., 20 (01), 2018

### Invitation to H-systems in higher dimensions: known results, new facts, and related open problems

EMS Surv. Math. Sci. 4 (2017), no. 1, 21–42.

### Weak solutions of geometric flows associated to integro-differential harmonic maps

manuscripta math 153 (2017), no. 3-4, 389–402

### Nonlinear commutators for the fractional p-Laplacian and applications

Math. Ann. 366(1), 695–720, (2016)

### Lp-theory for fractional gradient PDE with VMO coefficients

Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 26 (2015), no. 4, 433–443

### Blow-up behaviour of a fractional Adams-Moser-Trudinger type inequality in odd dimension

Comm.PDE 41 (2016), no. 10, 1593–1618

### An L1-type estimate for Riesz potentials

Rev. Mat. Ibero 33 (2017), no. 1, 291-304

### Lp-gradient-harmonic maps into spheres and SO(N)

Differential and Integral Equations, Vol 28 (3 /4), pp. 383-408 (2015)

### Integro-differential harmonic maps into spheres

Comm.PDE 40(3), 506-539 (2015)

### A notion of nonpositive curvature for general metric spaces

Differential Geometry and its Applications (2015), 22–32.

### A game-theoretic proof of convexity preserving properties for motion by curvature

Indiana Univ. Math. J. 65(1) (2016), 171-197

### Homotopy groups of spheres and Lipschitz homotopy groups of Heisenberg groups

Geom. Funct. Anal. 24 (2014), pp.245-268

### Lipschitz homotopy and density of Lipschitz mappings in Sobolev spaces

Annales Academiae Scientiarum Fennicae, 39 (2014), pp. 1-12

### General existence of solutions to dynamic programming principle

Comm. Pure and Applied Analysis. 14 (2015), no. 1, 167–184

### 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

### A Game-Tree approach to discrete infinity Laplacian with running costs

Preprint, unpublished, arXiv:1305.7372

### n/p-harmonic maps: regularity for the sphere case

Advances in Calculus of Variations, Vol. 7, pp. 1-26

### epsilon-regularity for systems involving non-local, antisymmetric operators

Calc. Var. P.D.E. 54(4),3531-3570, (2015)

### Harmonic analysis meets critical knots (Stationary points of the Moebius energy are smooth)

Trans. Amer. Math. Soc. 368 (2016), 6391-6438

(unpublished)

### 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

Journal of Differential Equations 252 (2012) 1862–1911

### A Remark on Gauge Transformations and the Moving Frame Method

Ann.Institute H.Poincare ( C ), 27 (2010), pp. 503-515

### Boundary regularity via Uhlenbeck-Riviere decomposition

Analysis, 29 (2009), pp. 199-220

### Erhaltungssätze in der Regularitätstheorie nichtlinearer elliptischer Systeme in zwei Dimensionen

(Diplomarbeit / Master’s thesis)