%0 Journal Article
%T A Note on the Displacement Problem of Elastostatics with Singular Boundary Values
%A Alfonsina Tartaglione
%J -
%D 2019
%R https://doi.org/10.3390/axioms8020046
%X Abstract The displacement problem of linear elastostatics in bounded and exterior domains with a non-regular boundary datum a is considered. Precisely, if the elastic body is represented by a domain of class C k ( k ¡Ý 2 ) of R 3 and a ¡Ê W 2 £¿ k £¿ 1 / q , q ( £¿ ¦¸ ) , q ¡Ê ( 1 , + ¡Þ ) , then it is proved that there exists a solution which is of class C ¡Þ in the interior and takes the boundary value in a well-defined sense. Moreover, it is unique in a natural function class. View Full-Tex
%K linear elastostatics
%K simple layer potentials
%K displacement problem
%K existence and uniqueness theorems
%K Fredholm alternative
%K singular data
%U https://www.mdpi.com/2075-1680/8/2/46