Open AccessOn the improved interior regularity of a boundary value problem modelling the displacement of a linearly elastic elliptic membrane shell subject to an obstacle
Author(s) -
Paolo Piersanti
Publication year - 2022
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2021145
Subject(s) - obstacle , boundary value problem , differentiable function , shell (structure) , domain (mathematical analysis) , displacement (psychology) , elliptic curve , mathematical analysis , membrane , mathematics , value (mathematics) , physics , geometry , materials science , composite material , chemistry , psychology , biochemistry , statistics , political science , law , psychotherapist
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.