Zhijun Zhang, Yongxiu Shi, Yanxing Xue
Abstract:
Under the Keller-Osserman condition on
,
we show the existence
and nonexistence of entire solutions for the semilinear elliptic system
,
where
are continuous functions.
Submitted January 22, 2011. Published March 9, 2011.
Math Subject Classifications: 35J55, 35J60, 35J65.
Key Words: Semilinear elliptic systems; entire solutions; existence.
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Zhijun Zhang School of Mathematics and Information Science Yantai University, Yantai, Shandong, 264005, China email: zhangzj@ytu.edu.cn | |
Yongxiu Shi School of Mathematics and Information Science Yantai University, Yantai, Shandong, 264005, China email: syxiu0926@126.com | |
Yanxing Xue School of Mathematics and Information Science Yantai University, Yantai, Shandong, 264005, China email: xiaoxue19870626@163.com |
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