Other boundary value problems for the Lamé system

2000 ◽  
pp. 107-138
Author(s):  
V. Kozlov ◽  
V. Maz’ya ◽  
J. Rossmann
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Lamé System ◽  
Lame System

Very weak solutions of boundary value problems for the Laplace operator and the Lamé system on polyhedral domains in ℝ3

1994 ◽  
Vol 124 (4) ◽  
pp. 645-672
Author(s):  
Ding Hua
Keyword(s):  
Boundary Value Problems ◽  
Laplace Operator ◽  
Weak Solutions ◽  
Boundary Value ◽  
Very Weak Solutions ◽  
Nonsmooth Data ◽  
Lamé System ◽  
Variational Solutions ◽  
Lame System ◽  
The Laplace Operator

The notion of very weak solutions is introduced in this paper in order to solve the boundary value problems for the Laplace operator and for the Lamé system with nonsmooth data in polyhedral domains. A continuity theorem is given for variational solutions of the above problems. This result may be used to solve problems with concentrated loads.

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