We introduce an infinite-dimensional version of the Amann-Conley-Zehnder reduction for a class of boundary problems related to nonlinear perturbed elliptic operators with symmetric derivative. We construct global generating functions with finite auxiliary parameters, describing the solutions as critical points in a finite-dimensional space.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc59-0-6,
author = {Franco Cardin},
title = {Global finite generating functions for field theory},
journal = {Banach Center Publications},
volume = {60},
year = {2003},
pages = {133-142},
zbl = {1062.53067},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc59-0-6}
}
Franco Cardin. Global finite generating functions for field theory. Banach Center Publications, Tome 60 (2003) pp. 133-142. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc59-0-6/