Chen-Kuan Lee

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math.DG2025

Uniqueness in the Plateau problem for calibrated currents

Bryan Dimler, Chen-Kuan Lee

We show that every compactly supported smoothly calibrated integral current with connected $C^{3, α}$ boundary is the unique solution to the oriented Plateau problem for its boundar…

math.DG2025

Perturbations of a minimal surface with triple junctions in $R^{2} \times S^{1}$

Chen-Kuan Lee

We construct stationary perturbations of a specific minimal surface with a circle of triple junctions in $R^{2} \times S^{1}$ , that satisfy given boundary data.

math.DG2022

Self-expanders to the mean curvature flow based on the generalized Lawson-Osserman cone

Chen-Kuan Lee

We derive the equation of self-similar solutions to mean curvature flow based on the generalized Lawson-Osserman cone and prove the existence of self-expanders by modifying the the…

Uniqueness in the Plateau problem for calibrated currents

Perturbations of a minimal surface with triple junctions in R2×S1

Self-expanders to the mean curvature flow based on the generalized Lawson-Osserman cone

Perturbations of a minimal surface with triple junctions in $R^{2} \times S^{1}$