Preprints

2017

S. Maier-Paape, Q. J. Zhu

A General Framework for Portfolio Theory. Part II: drawdown risk measures



S. Maier-Paape, Q. J. Zhu

A General Framework for Portfolio Theory. Part I: theory and various models



A. Gilsbach, H. von der Mosel

Symmetric Critical Knots for O'Hara's Energies



A. Hermes, S. Maier-Paape

Existence and Uniqueness for the Multivariate Discrete Terminal Wealth Relative



2016

S. Maier-Paape

Risk averse fractional trading using the current drawdown



J. Bemelmans, J. Habermann

Surfaces of prescribed mean curvature in a cone



R. Kempen, S. Maier-Paape

Survey on log-normally distributed market-technical trend data



2015

C. Bandle, A. Wagner

Shape optimization for an elliptic operator with infinitely many positive and negative eigenvalues



M. Gelantalis, A. Wagner, M.G. Westdickenberg

Existence and properties of certain critical points of the Cahn-Hilliard energy



H. Gerlach, P. Reiter, H. von der Mosel

The elastic trefoil is the twice covered circle



M. Meurer

Integral Menger curvature and rectifiability of n-dimensional Borel sets in Euclidean N-space



R. Löw, S. Maier-Paape, A. Platen

Correctness of Backtest Engines



C. Bandle, A. Wagner

Domain perturbations for elliptic problems with Robin boundary conditions of opposite sign



S. Maier-Paape, A. Platen

Lead-Lag Relationship using a Stop-and-Reverse-MinMax Process



S. Kolasiński, P. Strzelecki, H. von der Mosel

Compactness and Isotopy Finiteness for Submanifolds with Uniformly Bounded Geometric Curvature Energies



S. Maier-Paape, A. Platen

Backtest of trading systems on candle charts



T. Havenith, S. Scholtes

Comparing maximal mean values on different scales



2014

J. Bemelmans

Über den Einfluß der mathematischen Beschreibung physikalischer Phänomene auf die Reine Mathematik und die These von Wigner



K. Knappmann, A. Wagner

Optimality conditions for the buckling of a clamped plate.



C. Bandle, A. Wagner

Two Robin boundary value problems with opposite sign.



P. Overath, H. von der Mosel

On minimal immersions in Finsler space.



C. Bandle, A. Wagner

Isoperimetric inequalities for the principal eigenvalue of a membrane and the energy of problems with Robin boundary conditions.



C. Bandle, A. Wagner

Second variation of domain functionals and applications to problems with Robin boundary conditions. Updated: 2/28/14.



S. Scholtes

Discrete Thickness



2013

J. Bemelmans

Optimale Kurven – über die Anfänge der Variationsrechnung



S. Scholtes

Discrete Möbius Energy



S. Maier-Paape

Existence theorems for optimal fractional trading



S. Maier-Paape

Optimal f and diversification



C. Bandle, A. Wagner

Domain derivatives for energy functionals with boundary integrals; optimality and monotonicity.



J. Bemelmans, G.P. Galdi, M. Kyed

Capillary surfaces and floating bodies



S. Scholtes

On hypersurfaces of positive reach, alternating Steiner formulæ and Hadwiger's Problem



Y. Hafizogullari, S. Maier-Paape, A. Platen

Empirical Study of the 1-2-3 Trend Indicator (Updated: May 2013)



P. Strzelecki, H. von der Mosel

How averaged Menger curvatures control regularity and topology of curves and surfaces



P. Strzelecki, H. von der Mosel

Menger curvature as a knot energy



2012

P. Overath, H. von der Mosel

Plateau's problem in Finsler 3-space



P. Strzelecki, M. Szumańska, H. von der Mosel

On some knot energies involving Menger curvature



M. Deipenbrock

On the existence of a drag minimizing shape in an incompressible fluid



J. Bemelmans, G. P. Galdi, M. Kyed

On the Steady Motion of a Coupled System Solid-Liquid



S. Kolasiński, P. Strzelecki, H. von der Mosel

Characterizing W2,p submanifolds by p-integrability of global curvatures



S. Scholtes

A characterisation of inner product spaces by the maximal circumradius of spheres



S. Scholtes

Tangency properties of sets with finite geometric curvature energies



2011

J. Bemelmans, G. P. Galdi, M. Kyed

Fluid Flows Around Floating Bodies, I: The Hydrostatic Case



S. Scholtes

For which positive p is the integral Menger curvature Mp finite for all simple polygons?



P. Strzelecki, 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



J. Bemelmans

Über die Integration der Parabel, die Entdeckung der Kegelschnitte und die Parabel als literarische Figur



2010

A. Schikorra

A Note on Regularity for the n-dimensional H-System assuming logarithmic higher Integrability



A. Schikorra

Regularity of n/2-harmonic maps into spheres (Short Version)



P. Strzelecki, H. von der Mosel

Tangent-point self-avoidance energies for curves



H. Gerlach, H. von der Mosel

On sphere-filling ropes



A. Schikorra

Regularity of n/2-harmonic maps into spheres (Long Version)



2009

J. Bemelmans, G. P. Galdi, M. Kyed

Fluid Flows Around Floating Bodies, I: The Hydrostatic Case



G. P. Galdi, M. Kyed

Steady-State Navier-Stokes Flows Around a Rotating Body: Leray Solutions are Physically Reasonable



G. P. Galdi, M. Kyed

Steady-State Navier-Stokes Flows Past a Rotating Body: Leray Solutions are Physically Reasonable



J. Bemelmans, G. P. Galdi, M. Kyed

On the Steady Motion of an Elastic Body Moving Freely in a Navier-Stokes Liquid under the Action of a Constant Body Force



S. Scholtes

Elastic Catenoids



P. Imkeller, S. Maier-Paape

Investor Psychology Models



P. Strzelecki, H. von der Mosel

Integral Menger curvature for surfaces



K. Knappmann

Die zweite Gebietsvariation für die gebeulte Platte



S. Blatt

Note on Continuously Differentiable Isotopies



A. Schikorra

A Remark on Gauge Transformations and the Moving Frame Method



H. Gerlach, H. von der Mosel

What are the longest ropes on the unit sphere?



G. Buttazzo, A. Wagner

On some Rescaled Shape Optimization Problems



2008

H. Gerlach, H. von der Mosel

Yin-Yang-Kurven lösen ein Packungsproblem



P. Strzelecki, M. Szumańska, H. von der Mosel

Regularizing and self-avoidance effects of integral Menger curvature



S. Blatt

Chord-Arc Constants for Submanifolds of Arbitrary Codimension



S. Blatt

A Lower Bound for the Gromov Distortion of Knotted Submanifolds



F. Müller, A. Schikorra

Boundary regularity via Uhlenbeck-Rivière decomposition



S. Blatt

On the Blow-Up Limit for the Radially Symmetric Willmore Flow



S. Hildebrandt, H. von der Mosel

Conformal mapping of multiply connected Riemann domains by a variational approach



G. P. Galdi, M. Kyed

Steady Flow of a Navier-Stokes Liquid Past an Elastic Body



M. Belloni, A. Wagner

The ∞ Eigenvalue Problem from a Variational Point of View



W. Alt, D. Felix, P. Reiter, H. von der Mosel

Energetics and dynamics of global integrals modeling interaction between stiff filaments



C. Bandle, A. Wagner

Optimization problems for an energy functional with mass constraint revisited



2007

P. Strzlecki, M. Szumańska, H. von der Mosel

A geometric curvature double integral of Menger type for space curves



N. Winter

W2,p and W1,p-estimates at the boundary for solutions of fully nonlinear, uniformly elliptic equations



G. P. Galdi

Some Mathematical Properties of the Steady-State Navier-Stokes Problem Past a Three-Dimensional Obstacle



S. Hildebrandt, J. H. Maddocks, H. von der Mosel

Obstacle problems for elastic rods



2006

S. Winklmann, H. von der Mosel

On weakly harmonic maps from Finsler to Riemannian manifolds



S. Maier-Paape, U. Miller, K. Mischaikow, T. Wanner

Rigorous Numerics for the Cahn-Hilliard Equation on the Unit Square



H.-C. Grunau, M. Ould Ahmedou, W. Reichel

The Paneitz equation in hyperbolic space



S. Blatt, P. Reiter

Does Finite Knot Energy Lead To Differentiability?



M. Kyed

Travelling Wave Solutions of the Heat Equation in three dimensional Cylinders with non-linear Dissipation on the Boundary



C. Bandle, W. Reichel, J. von Below

Positivity and anti-maximum principles for elliptic operators with mixed boundary conditions



P.J. McKenna, W. Reichel

A priori bounds for semilinear equations and a new class of critical exponents for Lipschitz domains



C. Bandle, A. Wagner

Sobolev Constants in Disconnected Domains



2005

C. Bandle, A. Wagner

Optimization problems for weighted Sobolev constants



P. Strzelecki, H. von der Mosel

On rectifiable curves with Lp bounds on global curvature: Self-avoidance, regularity, and minimizing knots



S. Maier-Paape, K. Mischaikow, T. Wanner

Structure of the Attractor of the Cahn Hilliard Equation on a Square



P. Reiter

All curves in a C1-neighbourhood of a given embedded curve are isotopic



S. Hildebrandt, H. von der Mosel

Conformal Representation of Surfaces, and Plateau′s Problem for Cartan Functionals



A. Wagner

Optimal Shape Problems for Eigenvalues



J. Bemelmans

Die Vorlesung ′Figur und Rotation der Himmelskörper′ von F. Hausdorff, WS 1895/96, Universität Leipzig



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