Publication: Regularity properties of solutions to a sixth order Kirchhoff-Love’s type model for nanoplates
Date
2025
Journal Title
Journal ISSN
Volume Title
Publisher
EUT Edizioni Università di Trieste
Abstract
We prove advanced regularity results for solutions to a sixth order equation arising in the mechanical Kirchhoff-Love’s type model of the static equilibrium of a nanoplate in bending. Such regularity properties play a crucial role in the treatment, among others, of the inverse problem consisting in the determination of the Winkler coefficient of a nanoplate.
Description
Keywords
Nanoplates, regularity properties, higher-order elliptic equations
Citation
Giovanni Alessandrini, Antonino Morassi, Edi Rosset, Eva Sincich, and Sergio Vessella, "Regularity properties of solutions to a sixth order Kirchhoff-Love’s type model for nanoplates" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.57 (2025)), 1st Issue", EUT Edizioni Università di Trieste, Trieste, 2025, pp. 305-318