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- $W^1 (1)
- Elliptic div-grad operators (1)
- Elliptic transmission problems (1)
- anisotropic ellipticity in three dimensions (1)
- mixed Dirichlet-Neumann boundary conditions (1)
- mixed boundary problems (1)
- optimal Sobolev regularity (1)
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We investigate optimal elliptic
regularity (within the scale of Sobolev spaces) of anisotropic
div--grad operators in three dimensions at a multi-material vertex on
the Neumann boundary part of a polyhedral spatial domain. The
gradient of a solution to the corresponding elliptic PDE (in a
neighbourhood of the vertex) is integrable to an index greater than
three.