Global finite generating functions for field theory
Volume 59 / 2003
Banach Center Publications 59 (2003), 133-142
MSC: Primary 53D12; Secondary 49J35.
DOI: 10.4064/bc59-0-6
Abstract
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.