Year 2019

• The E-Cohomological Conley Index, Cup-Lengths and the Arnold Conjecture on T 2n

  Publication

  • M. Starostka
  • N. Waterstraat

  - ADVANCED NONLINEAR STUDIES - Year 2019

  We show that the E-cohomological Conley index, that was introduced by the first author recently, has a natural module structure. This yields a new cup-length and a lower bound for the number of critical points of functionals on Hilbert spaces. When applied to the setting of the Arnold conjecture, this paves the way to a short proof on tori, where it was first shown by C. Conley and E. Zehnder in 1983.

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Year 2015

• On Von Karman Equations and the Buckling of a Thin Circular Elastic Plate

  Publication

  • J. Janczewska
  • A. Zgorzelska
  • H. Guze

  - ADVANCED NONLINEAR STUDIES - Year 2015

  We shall be concerned with the buckling of a thin circular elastic plate simply supported along a boundary, subjected to a radial compressive load uniformly distributed along its boundary. One of the main engineering concerns is to reduce deformations of plate structures. It is well known that von Karman equations provide an established model that describes nonlinear deformations of elastic plates. Our approach to study plate deformations...

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