A Note on Korn’s Inequality in an N-Dimensional Context and a Global Existence Result for a Non-Linear Plate Model

Autor: Fabio Silva Botelho
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AppliedMath, Vol 3, Iss 2, Pp 406-416 (2023)
Druh dokumentu: article
ISSN: 2673-9909
DOI: 10.3390/appliedmath3020021
Popis: In the first part of this article, we present a new proof for Korn’s inequality in an n-dimensional context. The results are based on standard tools of real and functional analysis. For the final result, the standard Poincaré inequality plays a fundamental role. In the second text part, we develop a global existence result for a non-linear model of plates. We address a rather general type of boundary conditions and the novelty here is the more relaxed restrictions concerning the external load magnitude.
Databáze: Directory of Open Access Journals