GLOBAL SYMMETRY-BREAKING BIFURCATIONS OF CRITICAL ORBITS OF INVARIANT FUNCTIONALS

摘要

In this article we present a method of study of a global symmetrybreaking bifurcation of critical orbits of invariant functionals. As a topological tool we use the degree for equivariant gradient maps. We underline that many known results on bifurcations of non-radial solutions of elliptic PDE’s from the families of radial ones are consequences of our theory.