Existence of a semilinear elliptic system with exponential nonlinearities

Dongho Chae

doi:10.3934/dcds.2007.18.709

Article Contents

2007, Volume 18, Issue 4: 709-718. Doi: 10.3934/dcds.2007.18.709

This issue Previous Article A note on a non-local Kuramoto-Sivashinsky equation Next Article Asymptotic behavior of solutions of complex discrete evolution equations: The discrete Ginzburg-Landau equation

Existence of a semilinear elliptic system with exponential nonlinearities

Dongho Chae^1,

1.
Department of mathematics, Sungkyunkwan University, 300 Cheoncheon-dong, Jangan-gu, Suwon, 440-746

Received: May 31, 2006

Revised: January 31, 2007

Published: September 2007

Abstract Related Papers Cited by

Abstract

We consider a system of semilinear elliptic partial differential equations with exponential nonlinearities in $R^2$. We construct a solution of the system viewing the system as a perturbation of the decoupled Liouville equations and applying suitable implicit function theorem. As a byproduct we obtain very precise information on the asymptotic behaviors of the solutions near infinity.

Keywords:

Mathematics Subject Classification: Primary: 35J60, 35J65; Secondary: 35Q80.

Citation:

Article Metrics

HTML views() PDF downloads(93) Cited by(0)

Existence of a semilinear elliptic system with exponential nonlinearities

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Existence of a semilinear elliptic system with exponential nonlinearities

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content