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

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We consider the Dirichlet problem for the Lame system in a two-dimensional domain whose boundary contains a reentrant corner. The notion of Rv-generalized solution is introduced for this problem. The… Click to show full abstract

We consider the Dirichlet problem for the Lame system in a two-dimensional domain whose boundary contains a reentrant corner. The notion of Rv-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.

Keywords: generalized solution; problem; dirichlet problem; solution; existence uniqueness

Journal Title: Differential Equations
Year Published: 2019

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