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Construction of Nodal Bubbling Solutions for the Weighted Sinh-Poisson Equation
oleh: Yibin Zhang, Haitao Yang
Format: | Article |
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Diterbitkan: | Wiley 2013-01-01 |
Deskripsi
We consider the weighted sinh-Poisson equation in , on , where is a small parameter, , and is a unit ball in . By a constructive way, we prove that for any positive integer , there exists a nodal bubbling solution which concentrates at the origin and the other -points , , such that as , , where and is an odd integer with , or is an even integer. The same techniques lead also to a more general result on general domains.