Electronic Journal of Differential Equations,
Vol. 1999(1999), No. 29, pp. 1-11.

Title: Solutions to elliptic systems of Hamiltonian type in R^N 

Author: K. Tintarev (Uppsala Univ., Sweden)

Abstract: 
  The paper proves existence of a solution for elliptic systems of Hamiltonian
  type on ${\mathbb R}^N$ by a variational method.
  We use the Benci-Rabinowitz technique, which cannot be applied here directly 
  for lack of compactness. However, a concentration compactness technique 
  allows us to construct a finite-dimensional pseudogradient that restores the
  Benci-Rabinowitz method to power also for problems on unbounded domains.

Submitted December 8, 1998. Published September 9, 1999.
Math Subject Classifications: 35J50 
Key Words: cocentration compactness; elliptic systems; pseudogradient.