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. <i>Electronic Journal of Differential Equations, 1999</i>(29), pp. 1-11.
Rights
Attribution 4.0 International