3 papers
math-ph2022
Infinitesimal Rigidity of Strain Tensors for Shells with Mixed Type and its Applications
Liang-Biao Chen, Peng-Fei Yao
We derive an infinitesimal rigidity lemma for the strain tensor of surfaces with their curvatures changing sign. As an application, we obtain the optimal constant in the first Korn…
math.AP2021
Strain Tensors and Matching Property on Surfaces with the Gauss curvature changing sign
Liang-Biao Chen, Peng-Fei Yao
We prove the regularity of solutions to the strain tensor equation on a region with the Gauss curvature changing sign. Furthermore, we obtain the density property that smooth i…
math.AP2021
Strain Tensors and Matching Property on Degenerated Hyperbolic Surfaces
Liang-Biao Chen, Peng-Fei Yao
We prove the regularity of solutions to the strain tensor equation on degenerated hyperbolic surfaces where the Gauss curvature is zero on a part of boundary. Furthermore, we o…