We establish oscillation criteria for the second-order 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.
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| Rong-Kun Zhuang |
Department of Mathematics, Huizhou University
Huizhou 516015, China
Department of Mathematics, Sun Yat-sen University
Guangzhou 510275, China
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