Existence and Uniqueness of an Rν-Generalized Solution of the Dirichlet Problem for the Lamé System with a Corner Singularity

Аннотация

We consider the Dirichlet problem for the Lamé system in a two-dimensional domain whose boundary contains a reentrant corner. The notion of R_v-generalized solution is introduced for this problem. The existence and uniqueness of such a solution in the weighted set \({\mathop W\limits^\circ}_{2,v*}^1(\Omega,\delta)\) is proved.