The goal of this note is to study the equilibrium position of a heavy square able to move freely on an elastic wire

Contact details are reproduced from the original publication and may be historical.

A. Aissani

Dép. de Mathématiques, Université de Metz, Ile du Saulcy, 57045 Metz 01, France

M. Chipot

Mathematisches Institut, Universität Zürich, Winterthurerstr. 190, 8057 Zürich, Switzerland

  1. A. Aissani: Thesis, University of Metz, 2000.Google Scholar
  2. J. Bemelmans, M. Chipot: On a variational problem for an elastic membrane supporting a heavy ball, Cal. Var 3 (1995) 447–473.https://doi.org/10.1007/BF01187896Google Scholar
  3. M. Chipot: Elements of Nonlinear Analysis, Birkhäuser, 2000.https://doi.org/10.1007/978-3-0348-8428-0Google Scholar
  4. D. Kinderlehrer, G. Stampacchia: An Introduction to Variational Inequalities and their Applications, Acad. Press, 1980.Google Scholar
  5. J. F. Rodrigues: Obstacle Problems in Mathematical Physics, North Holland Mathematics studies 134, Amsterdam, North Holland, 1987.Google Scholar
  6. A. Aissani, M. Chipot, S. Fouad: On the deformation of an elastic wire by one or two heavy disks, to appear in Archiv der Mathematik.Google Scholar

A. Aissani, M. Chipot. “On the Equilibrium Position of a Square on an Elastic Wire.” Journal of Convex Analysis 8 (2001), No. 1, 171–195. https://doi.org/10.68381/jca08008