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

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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Bibliographic Details
Published inAsymptotic analysis Vol. 127; no. 1-2; pp. 35 - 55
Main Author Piersanti, Paolo
Format Journal Article
LanguageEnglish
Published London, England SAGE Publications 01.01.2022
Sage Publications Ltd
Subjects
Barriers
Shallow shells
obstacle problems
improved regularity
elliptic variational inequalities
Shallow shell
fourth order problems
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Summary: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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ISSN:0921-7134
1875-8576
DOI:10.3233/ASY-211672