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math.DG2023
On the uniqueness of energy-minimizing curves in constrained spaces
Ki-Ahm Lee, Taehun Lee
In this paper, we investigate energy-minimizing curves with fixed endpoints and in a constrained space. We prove that when one of the endpoints, say , is fixed, the set…
math.AP2023
The Wiener criterion for fully nonlinear elliptic equations
Ki-Ahm Lee, Se-Chan Lee
We study the boundary continuity of solutions to fully nonlinear elliptic equations. We first define a capacity for operators in non-divergence form and derive several capacitary e…