Existence of Solutions for the 2D Signorini-Coulomb Problem

Explore the existence of solutions for the 2D Signorini-Coulomb problem in this 44-minute conference talk from the Workshop on "Between Regularity and Defects: Variational and Geometrical Methods in Materials Science" held at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the static contact problem with Coulomb friction in dimension 2, examining the differences between isotropic and anisotropic elasticity. Learn about the continuation of research initiated by Eck and Jarušek, which involved a technical assumption on the smallness of the friction coefficient. Discover the technique used to prove that a suitable operator is Leray-Lions, and consequently pseudo-monotone à la Brézis and coercive. Gain insights into this joint work by Flaviana Iurlano and P. Ballard, which contributes to the field of variational and geometrical methods in materials science.