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has been cited by the following article:

• TITLE: The Bifurcation and Decay of Solutions for Asymptotically Linear Elliptic Systems with Parameter

  AUTHORS: Yangyang Ma

  KEYWORDS: Elliptic System, Bifurcation Theory, Decay

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.5, May 30, 2019

  ABSTRACT: This paper deals with an elliptic system of the formwhere N≥3, λis a parameter, and is a weighted function. We employ the Rabinowitz’s global bifurcation theory and the Dancer’s unilateral global bifurcation theory to determine the existence of positive solution and negative solution on the interval ofwith respect to λ. Furthermore, we also provide the decay of the positive and negative solutions.