Nonlinearity, Complexity and Foundations in Mathematics

Singularities and the geometry of some elliptic equations

speaker: Marta Calanchi (Università degli Studi di Milano )

abstract: We discuss some applications of singularity theory to nonlinear differential equations. In particular, we consider an elliptic equation with a nonlinearity which interacts with the k-th eigenvalue, and show that only fold and cusp singularities occur. Joint work with Bernhard Ruf (Accademia di Scienze e Lettere -Istituto Lombardo Milano).

<< Go back