-
P. Strzelecki, H. von der Mosel,
How averaged Menger curvatures control regularity and topology of curves and surfaces.
Preprint Nr. 60
Institut f. Mathematik, RWTH Aachen University (2013).
pdf
-
P. Strzelecki, H. von der Mosel,
Menger curvature as a knot energy.
Preprint Nr. 59
Institut f. Mathematik, RWTH Aachen University (2013).
pdf
-
P. Overath, H. von der Mosel,
Plateau's problem in Finsler 3-space.
Preprint Nr. 58
Institut f. Mathematik, RWTH Aachen University (2012); see also
arXiv:1209.2327v1 [math.DG] (2012).
pdf
-
P. Strzelecki, M. Szumanska, H. von der Mosel,
On some knot energies involving Menger curvature.
Preprint Nr. 57
Institut f. Mathematik, RWTH Aachen University (2012); see also
arXiv:1209.1527v1 [math.CA] (2012).
pdf
-
S. Kolasinski, P. Strzelecki, H. von der Mosel,
Characterizing $W^{2,p}$ submanifolds by $p$-integrability of global curvatures.
Geometric Functional Analysis DOI No: 10.1007/s00039-013-0222-y; see also Preprint Nr. 54
Institut f. Mathematik, RWTH Aachen University (2012), or
arXiv:1203.4688v1 [math.CA] (2012).
pdf
-
P. Strzelecki, H. von der Mosel,
Tangent-point repulsive potentials for a
class of non-smooth $m$-dimensional sets in $R^n$. Part I:
Smoothing and self-avoidance effects.
J. Geometric Analysis DOI No: 10.1007/s12220-011-9275-z;
see also Preprint Nr. 49
Institut f. Mathematik, RWTH Aachen University (2011), or arXiv:1102.3642v1 [math.CA].
pdf
-
P. Strzelecki, H. von der Mosel,
Tangent-point self-avoidance energies for curves.
J. Knot Theory Ramifications 21, no. 5 (2012); see
DOI No: 10.1142/S0218216511009960.
pdf
-
H. Gerlach, H. von der Mosel,
On sphere-filling ropes.
Amer. Math. Monthly 118, no. 10 (2011), 863--876.
pdf
-
P. Strzelecki, H. von der Mosel,
Integral Menger curvature for surfaces.
Adv. Math. 226 (2011), 2233--2304.
pdf
-
H. Gerlach, H. von der Mosel,
What are the longest ropes on the unit sphere?
Arch. Rational Mech. Anal. 201 (2011),
303--342.
pdf
-
P. Strzelecki, M. Szumanska, H. von der Mosel,
Regularizing and self-avoidance effects of integral Menger curvature.
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5)
Vol. IX (2010), 145--187.
pdf
-
H. Gerlach, H. von der Mosel,
Yin-Yang-Kurven lösen ein Packungsproblem (Yin-Yang curves solve a packing problem).
RWTH-Themen 2/2008, Wissenschaftsmagazin RWTH Aachen University (2008), 26--29.
pdf
-
S. Hildebrandt, H. von der Mosel,
Conformal mapping of multiply connected Riemann domains by a variational approach.
Adv. Calc. Var. 2 (2009), 137--183.
pdf
-
P. Reiter, D. Felix, H. von der Mosel, W. Alt,
Energetics and dynamcis of global integrals modeling interaction between stiff filaments.
J. Mathematical Biology 59 (2009), 377--414.
pdf
-
P. Strzelecki, M. Szumanska, H. von der Mosel,
A geometric curvature double integral of Menger type for space curves.
Ann. Acad. Scient. Fenn. Math. 34 (2009), 195--214.
pdf
-
J. H. Maddocks, S. Hildebrandt, H. von der Mosel,
Obstacle problems for elastic rods.
Preprint Nr. 16 Institut f. Mathematik, RWTH Aachen University (2007).
pdf
-
H. von der Mosel, S. Winklmann,
On weakly harmonic maps from Finsler to Riemannian manifolds.
Annales de l'I.H.P. -- Analyse non lineaire 26 (2009), 39--57, DOI:10.1016/j.anihpc.2007.06.001 (2007).
pdf
-
P. Strzelecki, H. von der Mosel,
On rectifiable curves with L^p bounds on global curvature: Self-avoidance, regularity, and minimizing knots.
Math. Z. 257 (2007), 107--130.
pdf
-
S. Hildebrandt, H. von der Mosel,
Conformal representation of surfaces, and Plateau's problem for Cartan functionals.
Rivista di Matematica della Univ. di Parma, Ser. 7, vol. 4* (2005), 1--43. -
pdf
-
P. Strzelecki, H. von der Mosel,
Global curvature for surfaces and area minimization under a thickness constraint.
Calc. Var. 25 (2006), 431--467. -
pdf
-
S. Hildebrandt, H. von der Mosel,
On Lichtenstein's theorem about globally conformal mappings.
Calc. Var. 23 (2005), 415--424. -
ps
-
P. Strzelecki, H. von der Mosel,
On a mathematical model for thick surfaces.
In: Calvo, Millett, Rawdon, Stasiak (eds.) Physical and Numerical Models in Knot Theory. Ser. on Knots and Everything 36, World Scientific 2005, 547--564. -
ps
-
S. Hildebrandt, H. von der Mosel,
Plateau's problem for parametric double integrals. Part II: Regularity at the boundary.
J. reine angew. Math. 565 (2003), 207--233. -
pdf
-
F. Schuricht, H. von der Mosel,
Characterization of ideal knots.
Calc. Var. 19 (2004), 281--305. -
dvi,
ps
-
U. Clarenz, H. von der Mosel,
On surfaces of prescribed $F$-mean curvature.
Pac. J. Math. 213 (2004), 15--36. -
dvi
-
M. Kurzke, H. von der Mosel,
The Douglas problem for parametric double integrals.
manunscripta math. 110 (2003), 93--114. -
dvi
-
F. Schuricht, H. von der Mosel,
Euler-Lagrange equations for nonlinearly elastic rods with self-contact.
Arch. Rational Mech. Anal. 168 (2003), 35--82. -
pdf
-
F. Schuricht, H. von der Mosel,
Global curvature for rectifiable loops.
Math. Z. 243 (2003), 37--77. -
dvi
-
S. Hildebrandt, H. von der Mosel,
Dominance functions for parametric Lagrangians.
In: Geometric analysis and nonlinear partial differential equations, Springer Berlin Heidelberg New York 2002, 297--326. -
dvi
-
S. Hildebrandt, H. von der Mosel,
The partially free boundary problem for parametric double integrals.
In: Nonlinear Problems in Mathematical Physics and Related Topics I, in honor of Prof. O.A. Ladyzhenskaya, T. Rozhkovskaya, K. Derham (eds.), Scientific Books Publ. (Russian), Kluwer (Engl.) 2002, 145--165. -
dvi
-
S. Hildebrandt, H. von der Mosel,
Plateau's problem for parametric double integrals. Part I: Existence and regularity in the interior.
Comm. Pure Appl. Math. 56 (2003), 926-955.
-
H. von der Mosel,
Existence and Regularity for Nonlinear Elastic Self-Contact Problems.
Habilitation thesis, Universität Bonn, 2001, Bonner Mathematische Schriften 349, 2002.
-
U. Clarenz, H. von der Mosel,
Isoperimetric inequalities for parametric variational problems.
Ann. de l'I.H.P. -- Analyse non lineaire 19 (2002), 617--629.
-
O. Gonzalez, J.H. Maddocks, F. Schuricht, H. von der Mosel,
Global curvature and self-contact of nonlinearly elastic curves and rods.
Calc. Var. 14 (2002), 29--68.
-
F. Schuricht, H. von der Mosel,
Ordinary Differential Equations with Measurable Right-Hand Side and Parameters in Metric Spaces.
Preprint 676, SFB 256, Uni-Bonn (2000). -
dvi
-
U. Clarenz, H. von der Mosel,
Compactness Theorems and an Isoperimetric Inequality for Critical Points of Elliptic Parametric Functionals.
Calc. Var 12 (2001), 85--107.
-
S. Hildebrandt, H. von der Mosel,
On two-dimensional parametric variational problems.
Calc. Var. 9 (1999), 249--267.
-
H. von der Mosel,
Elastic Knots in Euclidean 3--Space.
Ann. de l'I.H.P. -- Analyse non lineaire 16 no.2 (1999), 137--166.
Addendum to publications 2,4, and 5 (by P. Reiter) (2004),
ps
Addendum updated:
P. Reiter
All curves in a C^1-neighbourhood of a given embedded curve are isotopic.
Preprint Nr. 4, Institut f. Mathematik, RWTH Aachen University (2005). -
pdf
-
H. von der Mosel,
Minimizing the elastic energy of knots.
Asymptotic Analysis 18 (1998), 49--65.
-
H. von der Mosel,
Nonexistence Results for Extremals of Curvature Functionals.
Archiv d. Math. 69 (1997), 427--434.
-
H. von der Mosel,
Geometrische Variationsprobleme höherer Ordnung.
Dissertation, Universität Bonn 1996,Bonner Mathematische Schriften 293, 1996.
-
H. von der Mosel,
Regularität von Lösungen parametrischer Variationsprobleme.
Diplom thesis, Universität Bonn 1992.