Construction of Nodal Bubbling Solutions for the Weighted Sinh-Poisson Equation

Yibin Zhang and Haitao Yang

Abstract and Applied Analysis, 2013, vol. 2013, 1-16

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:873948

DOI: 10.1155/2013/873948

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