The Bifurcation and Decay of Solutions for Asymptotically Linear Elliptic Systems with Parameter ()
ABSTRACT
This
paper deals with an elliptic system of the form
where
N≥3,
λ is 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 of
with respect
to
λ. Furthermore, we also provide the decay of the
positive and negative solutions.
Share and Cite:
Ma, Y. (2019) The Bifurcation and Decay of Solutions for Asymptotically Linear Elliptic Systems with Parameter.
Journal of Applied Mathematics and Physics,
7, 1226-1239. doi:
10.4236/jamp.2019.75083.
Cited by
No relevant information.