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math.AP2022
Topology of singular set of semiconcave function via Arnaud's theorem
Tianqi Shi, Wei Cheng, Jiahui Hong
We proved the (local) path-connectedness of certain subset of the singular set of semiconcave functions with linear modulus in general. In some sense this result is optimal. The pr…
math.AP2022
Local strict singular characteristics II: existence for stationary equation on
Wei Cheng, Jiahui Hong
The notion of strict singular characteristics is important in the wellposedness issue of singular dynamics on the cut locus of the viscosity solutions. We provide an intuitive and…
math.AP2021★ 1 cited
Multi-objective Herglotz' variational principle and cooperative Hamilton-Jacobi systems
Wei Cheng, Kai Zhao, Min Zhou
We study a multi-objective variational problem of Herglotz' type with cooperative linear coupling. We established the associated Euler-Lagrange equations and the characteristic sys…