Blog

In the calculus of variations, Lavrentiev’s phenomenon refers to the situation when the minimum value of a certain functional varies significantly depending on the space of functions considered. In this talk, we present a new example of Lavrentiev’s phenomenon in the context of nonlinear elasticity. This example is based on an interplay of the elastic energy’s resistance to infinite compression and the Ciarlet–Necas condition, a constraint preventing global interpenetration of matter on sets of full measure.

個人網頁 https://www.mat.univie.ac.at/~molchanova/