scholarly journals Computable Constants for Korn’s Inequalities on Riemannian Manifolds

2021 ◽  
Author(s):  
R. J. Knops
Keyword(s):  
Boundary Conditions ◽  
Minimal Surface ◽  
Riemannian Manifolds ◽  
Dirichlet Boundary ◽  
Explicit Construction ◽  
Dirichlet Boundary Conditions ◽  
Two Dimensional ◽  
Spherical Cap ◽  
Connected Manifold ◽  
Simply Connected

AbstractA method is presented for the explicit construction of the non-dimensional constant occurring in Korn’s inequalities for a bounded two-dimensional Riemannian differentiable simply connected manifold subject to Dirichlet boundary conditions. The method is illustrated by application to the spherical cap and minimal surface.

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