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math-ph2019
Lower Bounds of Optimal Exponentials of Thickness in Geometry Rigidity Inequality for Shells
Peng-Fei Yao
The optimal exponentials of the thickness in the geometry rigidity inequality of shells represent the geometry rigidity of the shells. We obtain that the lower bounds of the optima…
math-ph2018
Linear Strain Tensors and Optimal Exponential of thickness in Korn's Inequalities for Hyperbolic Shells
Pengfei Yao
We perform a detailed analysis of the solvability of linear strain equations on hyperbolic surfaces to obtain regularity solutions. Then the rigidity results on the strain te…
math-ph2018
Optimal exponentials of thickness in Korn's inequalities for parabolic and elliptic shells
Pengfei Yao
We establish Korn's interpolation inequalities and the rigidity results of the strain tensor of the middle surface for the parabolic and elliptic shells and show that the best cons…