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.
Study p-Willmore disks with boundary energies, finding equilibrium configurations.
This article investigates stationary surfaces with boundaries, which arise as the critical points of functionals dependent on curvature. Precisely, a generalized "bending energy" functional is considered which involves a Lagrangian that is symmetric in the principal curvatures. The first variation of $\ma…
We found a new formulation to the Euler-Lagrange equation of the Willmore functional for immersed surfaces in . 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…