Speaker
Monica Clapp, Universidad Nacional Autónoma de México
Abstract
Symmetries have a strong impact on the existence, number, and shape of solutions to variational problems. For a number of problems where the variational functional exhibits lack of compactness, the invariance of the problem under linear isometries, combined with a careful analysis of the behavior of minimizing symmetric sequences in a suitable domain, gives rise to new existence and multiplicity results and to symmetry-breaking phenomena. In this minicourse we will introduce this method and discuss some of its applications.
Monica Clapp, Universidad Nacional Autónoma de México
Abstract
Symmetries have a strong impact on the existence, number, and shape of solutions to variational problems. For a number of problems where the variational functional exhibits lack of compactness, the invariance of the problem under linear isometries, combined with a careful analysis of the behavior of minimizing symmetric sequences in a suitable domain, gives rise to new existence and multiplicity results and to symmetry-breaking phenomena. In this minicourse we will introduce this method and discuss some of its applications.