Wenjie Gao, Junyu Wang, Zhongxin Zhang
Abstract:
A semilinear elliptic boundary-value problem on bounded
multiconnected domains is studied. The authors prove that
under suitable conditions, the problem may have no
solutions in certain cases and many have one or two
nonnegative solutions in some other cases. The radial
solutions were also studied in annular domains.
Submitted May 6, 2004. Published January 5, 2005.
Math Subject Classifications: 34B15.
Key Words: Semilnear elliptic boundary-value problem;
nonnegative solution; radial solution; nonexistence;
existence; multiplicity.
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Wenjie Gao Institute of Mathematics, Jilin University Changchun 130012, China email: wjgao@mail.jlu.edu.cn |
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Junyu Wang Institute of Mathematics, Jilin University Changchun 130012, China |
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Zhongxin Zhang Institute of Mathematics, Jilin University Changchun 130012, China email: wx555555@163.net |
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