Schouten tensor equations in conformal geometry with prescribed boundary metric.
Neumann and second boundary value problems for hessian and Gauß curvature flows
Self-similarly expanding networks to curve shortening flow
We consider a network in the Euclidean plane that consists of three distinct half-lines with common start points. From that network as initial condition, there exists a network that consists of three curves that all start at one point, where they form degree angles, and expands homothetically under curve shortening flow. We also prove uniqueness of these networks.
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