scholarly journals On the improved interior regularity of a boundary value problem modelling the displacement of a linearly elastic elliptic membrane shell subject to an obstacle

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Paolo Piersanti
Keyword(s):  
Boundary Value Problem ◽  
Obstacle Problem ◽  
Boundary Value ◽  
Membrane Shell ◽  
Interior Regularity ◽  
Membrane Shells ◽  
Higher Differentiability ◽  
Differentiability Properties

<p style='text-indent:20px;'>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.</p>

On the improved interior regularity of the solution of a fourth order elliptic problem modelling the displacement of a linearly elastic shallow shell lying subject to an obstacle

2021 ◽  
pp. 1-21
Author(s):  
Paolo Piersanti
Keyword(s):  
Fourth Order ◽  
Elliptic Problem ◽  
Obstacle Problem ◽  
Shallow Shell ◽  
Shallow Shells ◽  
Interior Regularity ◽  
Order Elliptic Problem ◽  
Higher Differentiability ◽  
Differentiability Properties

In this paper we show that the solution of an obstacle problem for linearly elastic shallow shells enjoys higher differentiability properties in the interior of the domain where it is defined.

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