2 citations · 2 across the 6 of their papers we have counts for
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A Half-Space Theorem for the Allen--Cahn Equation in All Dimensions
Sanghoon Lee
We prove that, in every dimension, a bounded, non-constant entire solution of the Allen--Cahn equation whose zero set is contained in a half-space is a one-dimensional heteroclinic…
Global Convergence of the Gursky-Malchiodi -curvature Flow
Liuwei Gong, Sanghoon Lee, Juncheng Wei
In their seminal work, Gursky and Malchiodi introduced a non-local conformal flow in dimensions to resolve the constant -curvature problem. They proved sequential con…
Structural constraints on mobility edges in one-dimensional quasiperiodic systems
Sanghoon Lee, Tilen Cadez, Kyoung-Min Kim
Mobility edges commonly arise in one-dimensional quasiperiodic systems once exact self-duality is broken, yet their origin is typically understood only at the level of individual H…
Nodal set comparison for Allen--Cahn solutions with conical asymptotics
Sanghoon Lee, Taehun Lee
We establish a comparison principle for entire solutions of the Allen--Cahn equation whose nodal sets, possibly singular, are asymptotic to a regular minimizing hypercone. We show…