Electron. J. Diff. Eqns., Vol. 1999(1999), No. 29, pp. 1-11.

Solutions to elliptic systems of Hamiltonian type in ${\Bbb R}^N$

K. Tintarev

Abstract:
The paper proves existence of a solution for elliptic systems of Hamiltonian type on ${\Bbb R}^N$ 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.

Show me the PDF file (144K), TEX file, and other files for this article.

Kyril Tintarev
Department of Mathematics
Uppsala University
Box 480, Uppsala 751 06, Sweden
email: kyril@math.uu.se

Return to the EJDE web page