Title: Topological monsters in elliptic equations and spectral theory.
Author(s): Alberto Enciso and Daniel Peralta-Salas.
Source: EMS Surveys in Mathematical Sciences 3 (2016) 107-130.
Date of publication: 2016.
Abstract: In this paper we will discuss the appearance of complicated geometric and topological structures through the level sets of solutions to a wide range of elliptic equations. Applications to the analysis of nodal sets of eigenfunctions of Schrödinger operators will be discussed too.