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math.AP2023★ 1 cited
Prescribed curvature problem
Yingxiang Hu, Mohammad N. Ivaki
In this paper, we establish the existence of smooth, origin-symmetric, strictly convex solutions to the prescribed even curvature problem.
math.AP2023★ 8 cited
On the uniqueness of solutions to the isotropic dual Minkowski problem
Yingxiang Hu, Mohammad N. Ivaki
We prove that the unit sphere is the only smooth, strictly convex solution to the isotropic dual Minkowski problem \begin{align*} h^{p-1} |D h|^{n+1-q}\mathcal{K}=1, \end{ali…