Translate level-set properties to curvature-flow dynamics

Investigate how the geometric properties of level sets established for domains in O_C translate to the evolution and behavior of these level sets under curvature-flow dynamics.

Background

The paper proves detailed geometric features of level sets (radial structure, star-shapedness, curvature formulas, asymptotics) in static settings for solutions of elliptic PDEs in C-GNP domains.

An explicit open question asks for a dynamic analogue: how these structural properties manifest or evolve when level sets are considered under curvature flows.