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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 873948, 16 pages
http://dx.doi.org/10.1155/2013/873948
Research Article

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

1College of Science, Nanjing Agricultural University, Nanjing 210095, China
2Department of Mathematics, Zhejiang University, Hangzhou 310027, China

Received 1 June 2013; Accepted 27 August 2013

Academic Editor: Marco Donatelli

Copyright © 2013 Yibin Zhang and Haitao Yang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.