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

Article type: Research Article

Authors: Piersanti, Paolo^{; *}

Affiliations: Department of Mathematics and Institute for Scientific Computing and Applied Mathematics, Indiana University, 831 East Third Street, Rawles Hall, Bloomington, IN 47405, USA. E-mail: ppiersan@iu.edu

Correspondence: [*] Corresponding author. E-mail: ppiersan@iu.edu.

Abstract: 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.

Keywords: Shallow shell, obstacle problems, elliptic variational inequalities, improved regularity, fourth order problems

DOI: 10.3233/ASY-211672

Journal: Asymptotic Analysis, vol. 127, no. 1-2, pp. 35-55, 2022