Solutions to Elliptic Systems of Hamiltonian Type in RN
Date
1999-09-09
Authors
Tintarev, Kyril
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
The paper proves existence of a solution for elliptic systems of Hamiltonian type on RN 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.
Description
Keywords
Cocentration compactness, Elliptic systems, Pseudogradient
Citation
Tintarev, K. (1999). Solutions to elliptic systems of Hamiltonian type in RN. Electronic Journal of Differential Equations, 1999(29), pp. 1-11.
Rights
Attribution 4.0 International