Phase transitions, minimal surfaces, and a conjecture of de Giorgi
Ovidiu Savin · Current Developments in Mathematics · 2009
A central problem in the area of PDEs is the study of global solutions, that is solutions defined in the whole space. This problem arises naturally for example when one studies the possible types of behaviors a solution might have at a given point. Focusing near such a point by dilating the picture more and more, we end up