2 citations · 5 across the 3 of their papers we have counts for
3 papers
math.AP2020★ 2 cited
A Reverse Isoperimetric Inequality and its Application to the Gradient Flow of the Helfrich Functional
Simon Blatt
We prove a quantitative reverse isoperimetric inequality for embedded surfaces with Willmore energy bounded away from . We use this result to analyze the negative gradien…
math.AP2020★ 1 cited
Analyticity for Solution of Integro-Differential Operators
Simon Blatt
We prove that for a certain class of kernels that viscosity solutions of the integro-differential equation $$ \int_{\mathbb R^n} (u(x+y) - 2 u(x) + u(x-y)) K(y) dy = f(x,u(x…
math.DG2019★ 2 cited
A Möbius invariant discretization and decomposition of the Möbius energy
Simon Blatt, Aya Ishizeki, Takeyuki Nagasawa
The Möbius energy, defined by O'Hara, is one of the knot energies, and named after the Möbius invariant property which was shown by Freedman-He-Wang. The energy can be decomposed i…