4 papers
Representation of tensor functions using lower-order structural tensor set: two-dimensional point group
Mohammad Madadi, Lin Cheng, Pu Zhang
The representation theory of tensor functions is essential to constitutive modeling of materials including both mechanical and physical behaviors. Generally, material symmetry is i…
A Regularity Theory for Stationary Two-valued Harmonic Functions
Lingxiao Cheng, Lubo Wang
For stationary two-valued harmonic functions with Hölder regularity, we establish their Lipschitz regularity and prove that the nodal set consists of analytic hypersurfaces away fr…
Two new proofs of partial Godbersen's Conjecture
Lin Cheng
Two new proofs are provided, offering two new perspectives on Godbersen's conjecture. One of the proofs utilizes Helly's theorem to provide a concise and elegant proof of the inequ…
Directional Differentiability of the Generalized Metric Projection in Hilbert spaces and Hilbertian Bochner spaces
Jinlu Li, Li Cheng, Lishan Liu +1
Let be a real Hilbert space and a nonempty closed and convex subset of . Let denote the (standard) metric projection operator. In this paper, we st…