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math.OC2024
Nonsmooth Convex Optimization using the Specular Gradient Method with Root-Linear Convergence
Kiyuob Jung, Jehan Oh
We propose the specular gradient method for one-dimensional convex optimization. Assuming that the minimum is attained and a suitable initial distance bound holds, we establish R-l…
math.AP2024
Interior type estimates for degenerate fully nonlinear elliptic equations with data
Sun-Sig Byun, Hongsoo Kim, Jehan Oh
We establish interior type estimates for a class of degenerate fully nonlinear elliptic equations with data. The main idea of our approach is to slide con…
math.AP2024
regularity for degenerate fully nonlinear elliptic equations with oblique boundary conditions on domains
Sun-Sig Byun, Hongsoo Kim, Jehan Oh
We provide a sharp estimate up to the boundary for a viscosity solution of a degenerate fully nonlinear elliptic equation with the oblique boundary condition on a d…