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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

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0111 · Dec 200619922001200920172026
3 results for “p-Willmore”
On p-Willmore Disks with Boundary Energiesmath.DG

Study p-Willmore disks with boundary energies, finding equilibrium configurations.

problem Finding equilibrium configurations for p-Willmore disks with boundary energies.
method Model boundary as Kirchhoff elastic rod, interior term dependent on mean and Gaussian curvatures. Study among topological disks and p-Willmore examples.
result Equilibrium configurations for p-Willmore disks with boundary energies.
p-Willmoredisksboundary energiesKirchhoffelastic rod
2021-10-27abs ↗pdf ↗
Stationary Surfaces with Boundariesmath.DG

The study examines stationary surfaces with boundaries and their properties.

problem Investigating stationary surfaces with boundaries and their critical points.
method A generalized bending energy functional is considered, and the first variation is computed. Boundary-value problems are examined, and a characterization of free-boundary surfaces is given.
result Characterization of free-boundary surfaces with rotational symmetry for scaling-invariant functionals.
stationary surfacesboundariescurvaturebending energycritical points
2019-12-15abs ↗pdf ↗
Analysis aspects of Willmore surfacesmath.AP

We found a new formulation to the Euler-Lagrange equation of the Willmore functional for immersed surfaces in Rm{\R}^m. This new formulation of Willmore equation appears to be of divergence form, moreover, the non-linearities are made of jacobians. Additionally to that, if $\bH$ denotes the mean curvature vector of the…

2006-12-18abs ↗pdf ↗