Minimizers of Kirchhoff's plate functional: Euler-Lagrange equations and regularity

摘要

Let S subset of R-2 be a bounded C-infinity-domain. In this Note we consider W-2,W-2 isometric immersions u: S -> R-3 which minimize Kirchhoff's plate functional under boundary conditions prescribing the values of it and of del u on parts of a S. We derive the Euler-Lagrange equations satisfied by it and we derive regularity results for it. To cite this article: P Hornung, C. R. Acad. Sci. Paris, Ser. I 347 (2009).