Semi-linear Liouville theorems in the generalized Greiner vector fields
Yazhou Han (),
Qiong Zhao () and
Yongyang Jin ()
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Yazhou Han: China Jiliang University
Qiong Zhao: China Jiliang University
Yongyang Jin: Zhejiang University of Technology
Indian Journal of Pure and Applied Mathematics, 2013, vol. 44, issue 3, 311-342
Abstract:
Abstract This paper is devoted to study a class of semi-linear elliptic equation with principal part constructed by generalized Greiner vector fields. Using the idea of vector field method, we introduce a new functional for generalized Greiner vector fields. Through many identity deformations and accurate estimates, a class of Liouville type theorem is given. It improves the Liouville type theorem obtained by Niu etc., which can be seen in Canad. Math. Bull., 47(3), 417–430 (2004).
Keywords: Vector field method; generalized greiner vector fields; Liouville theorem; semi-linear equation (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s13226-013-0016-9
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