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.