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
Regularity properties of solutions to a sixth order Kirchhoff-Love’s type model for nanoplates / Alessandrini, G., Morassi, A., Rosset, E., Sincich, E., Sergio Vessella, A.. - In: RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITÀ DI TRIESTE. - ISSN 0049-4704. - (2025), pp. 1-14. [10.13137/2464-8728/37130]
Regularity properties of solutions to a sixth order Kirchhoff-Love’s type model for nanoplates
Giovanni Alessandrini;Edi Rosset;Eva Sincich;
2025-01-01
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 nanoplatePubblicazioni consigliate
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