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math.DG2021
Eigenvalue bounds for the Paneitz operator and its associated third-order boundary operator on locally conformally flat manifolds
Maria del Mar Gonzalez, Mariel Saez
In this paper we study bounds for the first eigenvalue of the Paneitz operator and its associated third-order boundary operator on four-manifolds. We restrict to orientab…
math.DG2021★ 1 cited
Short-time existence for the network flow
Jorge Lira, Rafe Mazzeo, Alessandra Pluda +1
This paper contains a new proof of the short-time existence for the flow by curvature of a network of curves in the plane. Appearing initially in metallurgy and as a model for the…
math.DG2007★ 11 cited
Self similar expanding solutions of the planar network flow
Rafe Mazzeo, Mariel Saez
We prove the existence of self-similar expanding solutions of the curvature flow on planar networks where the initial configuration is any number of half-lines meeting at the origi…