A direct method of moving planes for the fractional p-Laplacian system with negative powers

Minghui Qie (), Zhongxue Lü () and Xin Zhang ()
Additional contact information
Minghui Qie: Jiangsu Normal University
Zhongxue Lü: Jiangsu Normal University
Xin Zhang: Jiangsu Normal University

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 2, 344-358

Abstract: Abstract In this paper, we establish the direct method of moving planes for the fractional p-Laplacian system with negative powers. The key theorems are decay at infinity and a boundary estimate in the direct method of moving planes. Moreover, we apply the direct method of moving planes to obtain the radial symmetry and monotonicity of the positive solutions for the fractional p-Laplacian system with negative powers in the whole space. We also give one special case.

Keywords: The fractional p-Laplacian with negative powers; Decay at infinity; A boundary estimate; Method of moving planes; Radial symmetry; Monotonicity (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-022-00257-2 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:54:y:2023:i:2:d:10.1007_s13226-022-00257-2

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

DOI: 10.1007/s13226-022-00257-2

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 ().