Geodesic
Semilinear elliptic boundary-value problems on bounded multiconnected domains
Electronic journal of differential equations, Tome 2005 (2005)
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.
Classification : 34B15
Keywords: semilnear elliptic boundary-value problem, nonnegative solution, radial solution, nonexistence, existence, multiplicity 
@article{EJDE_2005__2005__a47,
     author = {Gao,  Wenjie and Wang,  Junyu and Zhang,  Zhongxin},
     title = {Semilinear elliptic boundary-value problems on bounded multiconnected domains},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1134.35337},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a47/}
}
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%A Zhang,  Zhongxin
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%D 2005
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%F EJDE_2005__2005__a47
Gao,  Wenjie; Wang,  Junyu; Zhang,  Zhongxin. Semilinear elliptic boundary-value problems on bounded multiconnected domains. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a47/