Calculus of Variations and Geometric Measure Theory

Properties of the free boundary in the optimal compliance problem

Eugene Stepanov (St. Petersburg Branch of the Steklov Research Institute of Mathematics of the Russian Academy of Sciences)

created by stepanov on 04 Dec 2014

10 dec 2014 -- 17:30   [open in google calendar]

Dipartimento di Matematica, Aula seminari


We consider the problem of finding the optimal shape of a support of some elastic material under the given load so as to optimize the compliance of the latter. The topological properties of the optimal support (which may be viewed as the ``free boundary'') as well as its regularity will be studied.