Solutions to elliptic systems of Hamiltonian type in R^N
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 f...
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| Format: | Article |
| Language: | English |
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Texas State University
1999-09-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/1999/29/abstr.html |
| Summary: | 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. |
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| ISSN: | 1072-6691 |