Sobolev met Poincaré
by Koskela, Pekka, Hajłasz, Piotr
fromMemoirs of the American Mathematical Society
A new notion of Frechet differentiability is introduced for maps between Banach spaces which are dual spaces, and it is shown that diffeomorphisms in the class of mappings thus isolated preserve the bounded weak-star topology as well as the ordinary metric topology. Basic Banach…
Bifurcation theory is the study of small solutions of nonlinear equations, depending on a number of parameters, when for certain values of these parameters more than one solution may appear. Because of the difficulties encountered in obtaining explicit solutions to such problems…
This memoir describes the generic bifurcations from symmetric fixed points of families of involutory area preserving maps defined in the plane.
