|
[40] |
with H. von der Mosel: Geometric curvature energies: facts, trends, and open problems. In: New Directions in Geometric and Applied Knot Theory. Editors: S. Blatt, Ph. Reiter, A. Schikorra. Chapter 2, pages 8-35.
Walter de Gruyter, 2018. |
|
|
[39] |
with S. Kolasinski and H. von der Mosel: Compactness and isotopy finiteness for submanifolds with uniformly
bounded geometric curvature energies. Communications in Analysis and Geometry
26 (2018), no. 16, 1251-1316. |
|
|
[38] |
with A. Schikorra: Invitation to H-systems in higher dimensions: known results, new facts, and related open problems. EMS Surveys in Mathematical Sciences 4 (2017), no. 1, 21-42. |
|
|
[37] |
with K. Mazowiecka: The Lavrentiev gap phenomenon for harmonic maps into spheres holds on a dense set of zero degree boundary data.
Advances in Calculus of Variations, 10 (2017), 303-314. |
|
|
[36] |
with K. Kazaniecki, M. Lasica and K. Mazowiecka: A conditional regularity result for p-harmonic flows. Nonlinear Differential Equations and Applications, 23 (2016), no. 2, Art. 9, 13 pp.
|
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|
[35] |
with H. von der Mosel: How averaged Menger curvatures control regularity and topology of curves and surfaces. Journal of Physics: Conference Series, 544 (2014), 12 pages.
|
|
|
[34] |
with H. von der Mosel: Menger curvature as a knot energy.
Physics Reports, 530, no. 3 (2013), 257-290. |
|
|
[33] |
with M. Szumanska and H. von der Mosel: On some knot energies involving Menger curvature.
Topology and its Applications, 160 (2013), 1507-1529. |
|
|
[32] |
with P. Goldstein and A. Zatorska-Goldstein: Weak compactness of solutions for fourth order elliptic systems with critical growth.
Studia Mathematica, 214 (2013), 137-156. |
|
|
[31] |
with S. Kolasinski and H. von der Mosel: Characterizing W2,p submanifolds by p-integrability of global curvatures.
Geometric and Functional Analysis, 23 (2013), 937-984. |
|
|
[30] |
with H. von der Mosel: Tangent-point repulsive potentials
for a class of non-smooth m-dimensional sets in Rn.
Part I: Smoothing and self-avoidance effects.
Journal of Geometric Analysis, 23 (2013), 1085-1139. |
|
|
[29] |
with H. von der Mosel: Tangent-point self-avoidance energies for curves. J. Knot Theory Ramifications 21, no. 5 (2012). |
|
|
[28] |
with H. von der Mosel: Integral Menger curvature for surfaces.
Advances in Mathematics 226 (2011), 2233-2304. |
|
|
[27] |
with M. Szumanska and H. von der Mosel: Regularizing and
self-avoidance effects of integral Menger curvature. Annali della Scuola Norm. Sup. di Pisa 9, no. 1 (2010), 145-187.
|
|
|
[26] |
with P. Goldstein and A. Zatorska-Goldstein: On polyharmonic
maps into spheres in the critical dimension. Ann. IHP, Analyse Non-lineaire 26 (2009), 1387-1405. |
|
|
[25] |
with M. Szumanska and H. von der Mosel: A geometric curvature double
integral of Menger type for space curves. Ann. Acad. Sci. Fenn. 34 (2009), 195-214.
|
|
|
[24] |
with P. Hajlasz and X. Zhong: A new approach to interior
regularity of elliptic systems with quadratic Jacobian structure
in dimension two. Manuscripta Math. 127 (2008), 121-135
|
|
|
[23] |
with A. Zatorska-Goldstein: On a nonlinear fourth order elliptic
system with critical growth in first order derivatives. Advances
in Calc. Var 1 (2008), 205-222.
|
|
|
[22] |
with H. von der Mosel: On rectifiable curves with
Lp-bounds on global curvature: Self-avoidance, regularity, and
minimizing knots. Math. Z. 257 (2007), 107-130.
|
|
|
[21] |
with H. von der Mosel: Global curvature for
surfaces and area minimization under a thickness constraint,
Calculus of Variations and PDE 25 (2006), 431-467.
|
|
|
[20] |
Gagliardo-Nirenberg inequalities with
a BMO term, Bull. London Math. Soc. 38 (2006),
294-300.
|
|
|
[19] |
with H. von der Mosel: On a mathematical
model for thick surfaces. Chapter 27 in: Physical and
Numerical Models in Knot Theory and their Application to the Life
Sciences, vol. 36, Series Knots and Everything, World
Scientific Publishing, 2005.
|
|
|
[18] |
with B. Bojarski and P. Hajlasz: On Sard's theorem for mappings in Hoelder and Sobolev classes,
Manuscripta Math. 118 (2005), 383-397.
|
|
|
[17] |
with T. Riviere: A sharp non-linear Gagliardo-Nirenberg estimate and applications to regularity of
nonlinear elliptic systems, Comm. PDE 30
(2005), 589-604.
|
|
|
[16] |
with P. Hajlasz: How to measure volume with
a thread. Amer. Math. Monthly 112 (2005), 176-179. See also erratum.
|
|
|
[15] |
with A. Zatorska-Goldstein: A compactness theorem for higher dimensional H-systems, Duke Math. Journal
121 (2004), 269-284.
|
|
|
[14] |
On regularity of generalized sphere-valued p-harmonic maps with small mean oscillations, Manuscripta
Math. 112 (2003), 473-487.
|
|
|
[13] |
On biharmonic maps and their generalizations, Calculus of
Variations and PDE 18 (2003), 401-432.
|
|
|
[12] |
A new proof of regularity of
weak solutions of the H-surface equation, Calculus of
Variations and PDE 16 (2003), 227-242.
|
|
|
[11] |
with B. Bojarski and P. Hajlasz:
Improved approximation of higher order Sobolev functions in
norm and capacity, Indiana Univ. Math. Journal 51
(2002), 507-540.
|
|
|
[10] |
Hardy space estimates for higher order
differential operators. Indiana Univ. Math. Journal 50
(2001), 1447-1461.
|
|
|
[9] |
with P. Hajlasz: Subelliptic
p-harmonic maps into spheres and the ghost of Hardy spaces.
Mathematische Annalen 312 (1998), 341-362.
|
|
[8] |
Stationary p-harmonic maps into
spheres. In: Singularities and Differential Equations,
Banach Center Publications vol. 33, pp. 383-393, Warszawa 1996.
|
|
|
[7] |
Asymptotics for a minimization
of a Ginzburg-Landau energy in n dimensions, Colloquium
Math. 70 (1996), 271-289.
|
|
[6] |
Quasilinear elliptic systems of Ginzburg-Landau type. In: Free boundary problems and
applications. Proceedings of 1995 Zakopane Congress, pp.
158-165, Pitman Res. Notes Math. Ser., 363, Longman, Harlow,
1996.
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[5] |
Regularity of p-harmonic maps from the p-dimensional ball into a sphere, Manuscripta Math. 82 (1994), 407-415.
|
|
[4] |
Regularity of p-harmonic functions on a Riemann
surface. In: Proc. of the 4th Finnish-Polish Summer School in
Complex Analysis, edited by Olli Martio and Julian
Lawrynowicz, Ber. Univ. Jyvaskyla Math. Inst. 55 (1993), 183-190.
|
|
|
[3] |
with P. Hajlasz: On the differentiability of
solutions of quasilinear elliptic equations, Colloquium Math.
64 (1993), 287-291
|
|
[2] |
Pointwise differentiability properties of
solutions of quasilinear parabolic equations, Hokkaido Math.
Journal 21 (1992), 543-567.
|
|
[1] |
Pointwise differentiability of weak solutions
of parabolic equations with measurable coefficients, Ann. Acad.
Sci. Fenn. 17 (1992), 171-180.
|