![[Search]](/static/images/search.gif){kind=small}
![[A-Z Index]](/static/images/az.gif){kind=small}
![[Contact]](/static/images/contact.gif){kind=small}
![[University of Cambridge]](/static/images/identifier2.gif){kind=small}
![[Talks.cam]](/static/images/talkslogosmall.gif)
Mickaël Nahon (Université Grenoble Alpes)
Monday 02 February 2026, 15:50-16:30
Boundary regularity of optimal sets for the critical buckling load of clamped plates
- 👤 Speaker: Mickaël Nahon (Université Grenoble Alpes)
- 📅 Date & Time: Monday 02 February 2026, 15:50 - 16:30
- 📍 Venue: Seminar Room 1, Newton Institute
Abstract
A long-standing conjecture in spectral optimization is whether the critical buckling load (the first eigenvalue of the bilaplacian with respect to the laplacian) under area constraint is minimal on a disk. It is known from an argument of Willms and Weinberger that a sufficiently smooth optimal set must be a disk. In this talk, I will explain a recent result on the regularity of a fourth order free boundary problem that applies to this question. A special feature of this free boundary problem is that the boundary may present cusp points and angular points of opening 1.43pi. This is a joint work with Jimmy Lamboley
Series This talk is part of the Isaac Newton Institute Seminar Series series.
Included in Lists
- All CMS events
- bld31
- dh539
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 1, Newton Institute
Note: Ex-directory lists are not shown.