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Existence of a semilinear elliptic system with exponential nonlinearities
- Authors
- Chae, Dongho
- Issue Date
- Aug-2007
- Publisher
- AMER INST MATHEMATICAL SCIENCES-AIMS
- Keywords
- exponential nonlinearity; existence; perturbation method
- Citation
- DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v.18, no.4, pp 709 - 718
- Pages
- 10
- Journal Title
- DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
- Volume
- 18
- Number
- 4
- Start Page
- 709
- End Page
- 718
- ISSN
- 1078-0947
1553-5231
- Abstract
- We consider a system of semilinear elliptic partial different equations with exponential nonlinearities in R-2. We construct a solution of the system viewing the system as a perturbation of the decoupled Liousville equations and applying suitable implicit function theorem. As a byproduct we obtain very precise information on the asymptotic behaviors of the solutions near infinity.
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