The classical Allen-Cahn equation gives a bridge between the theory of phase transition and the theory of minimal surfaces. In this talk I will discuss the existence of multiple solutions for a suitable variant of this equation, satisfying a volume constraint. This aims naturally at an existence theory for constant mean curvature hypersurfaces. Joint work with Vieri Benci (Pisa) and Stefano Nardulli (UFABC).
Geometry-Topology Seminar
Thursday, April 19, 2018 - 4:30pm
Paolo Piccione
Universidade de Sao Paulo