Bian-Xia Yang
Abstract:
In this article, we establish a unilateral global bifurcation theorem
from infinity for a class of
-dimensional
p-Laplacian problems.
As an application, we study the global behavior
of the components of nodal solutions of the problem
where
,
,
, and
is radially symmetric with
on any subset of
,
and there exist two constants
,
such that
,
and
for
.
Moreover, we give intervals for the parameter
, where
the problem has multiple nodal solutions if
and
.
We use topological methods and nonlinear
analysis techniques to prove our main results.
Submitted November 29, 2013. Published January 8, 2014.
Math Subject Classifications: 35P30,35B32.
Key Words: p-Laplacian; bifurcation; nodal solutions.
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Bian-Xia Yang School of Mathematics and Statistics Lanzhou University Lanzhou, Gansu 730000, China email: yanglina7765309@163.com |
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