On a Class of Functionals Invariant under a Zn Action.
Abstract
This document considers a system of ordinary differential equations of the form (*) q + V sub q (t,q) = f(t) where f and V are periodic in t, V is periodic in the components of q = (q sub 1,..., q sub m), and the mean value of f vanishes. By showing that a corresponding functional is invariant under a natural Z sub n action, a simple variational argument yields at least n + 1 distinct periodic solutions of (*). More general versions of (*) are also treated as is a class of Neumann problems for semilinear elliptic partial differential equations.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1987
- Accession Number
- ADA193474
Entities
People
- Paul Rabinowitz
Organizations
- University of Wisconsin–Madison