On the improved interior regularity of a boundary value problem modelling the displacement of a linearly elastic elliptic membrane shell subject to an obstacle. (English) Zbl 1481.74516
Summary: In this paper we show that the solution of an obstacle problem for linearly elastic elliptic membrane shells enjoys higher differentiability properties in the interior of the domain where it is defined.
MSC:
| 74K25 | Shells |
| 74B05 | Classical linear elasticity |
| 74G40 | Regularity of solutions of equilibrium problems in solid mechanics |
| 35Q74 | PDEs in connection with mechanics of deformable solids |
| 49J40 | Variational inequalities |
Keywords:
elliptic membrane shell; obstacle problem; elliptic variational inequality; improved regularity; second-order problem; Sobolev spaceReferences:
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