Electron. J. Diff. Eqns.,
Vol. 2009(2009), No. 04, pp. 114.
Annulus oscillation criteria for second order
nonlinear elliptic differential equations with damping
RongKun Zhuang
Abstract:
We establish oscillation criteria for the secondorder
elliptic differential equation
where
is an exterior domain in
.
These
criteria are different from most known ones in the sense that they
are based on the information only on a sequence of annulus
of
,
rather than on the whole exterior domain
.
Both the cases when
exists
for all i and when it does not exist for some i
are considered.
Submitted May 28, 2008. Published January 2, 2009.
Math Subject Classifications: 35J60, 34C10.
Key Words: Nonlinear elliptic differential equation; second order;
oscillation; annulus criteria.
Show me the
PDF file (263 KB),
TEX file, and other files for this article.

RongKun Zhuang
Department of Mathematics, Huizhou University
Huizhou 516015, China
Department of Mathematics, Sun Yatsen University
Guangzhou 510275, China
email: rkzhuang@163.com

Return to the EJDE web page