Semi-linear Liouville theorems in the generalized Greiner vector fields

Yazhou Han (), Qiong Zhao () and Yongyang Jin ()
Additional contact information
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
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1007/s13226-013-0016-9 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:44:y:2013:i:3:d:10.1007_s13226-013-0016-9

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-013-0016-9

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().