Electron. J. Diff. Eqns., Vol. 2005(2005), No. 07, pp. 1-11.

Semilinear elliptic boundary-value problems on bounded multiconnected domains

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
Junyu Wang
Institute of Mathematics, Jilin University
Changchun 130012, China
; Zhongxin Zhang
Institute of Mathematics, Jilin University
Changchun 130012, China
email: wx555555@163.net

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