3 papers
math.AP2026
Rigidity Estimate for Hyperbolic Shells and its Application in -limit Theory
Liang-Biao Chen, Peng-Fei Yao
This paper establishes novel rigidity estimates for hyperbolic shells (surfaces with negative Gaussian curvature) and applies them to derive the \(Î\)-limit of thin elastic shells…
math.AP2026
Rigidity of Strain Tensors for Surfaces With Mixed Type and Applications To Shell Theory
Liang-Biao Chen, Peng-Fei Yao
This paper investigates the rigidity of strain tensors on surfaces with sign-changing Gaussian curvature (mixed-type surfaces) and applies the results to determine the optimal thic…
math.AP2025
On Exponents of Thickness in Geometry Rigidity Inequality for Shells
Liang-Biao Chen, Peng-Fei Yao
We study exponents of thickness in Frieseck-James-Müller's inequalities for shells. We derive the following results: (a) the exponent of thickness if the middle su…