Picone’s identity for biharmonic operators on Heisenberg group and its applications

Source
Nonlinear Differential Equations and Applications
ISSN
10219722
Date Issued
2016-04-01
Author(s)
Dwivedi, Gaurav
DOI
Volume
23
Issue
2
Abstract
In this paper, we establish a nonlinear analogue of Picone’s identity for biharmonic operators on Heisenberg group. As an applications of Picone’s identity, we obtain Hardy-Rellich type inequality, Morse index, Caccioppoli inequality, Picone inequality for biharmonic operators on Heisenberg group.
Publication link
https://link.springer.com/content/pdf/10.1007/s00030-016-0376-z.pdf
URI
Subjects
Bi-Laplacian | Caccioppoli inequality | Hardy-Rellich type inequality | Morse index | Picone inequality | Picone’s identity on Heisenberg group | Variational methods