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

Yibin Zhang | Zendy; Haitao Yang | Zendy

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

Author(s) -

Yibin Zhang,

Haitao Yang

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/873948

Subject(s) - mathematics , path (computing) , matrix (chemical analysis) , combinatorics , hyperbolic function , mathematical analysis , chemistry , chromatography , computer science , programming language

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

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