Dwivedi, GauravGauravDwivediTyagi, JagmohanJagmohanTyagi2025-08-302025-08-302016-04-0110.1007/s00030-016-0376-z2-s2.0-84977481212https://d8.irins.org/handle/IITG2025/21922In 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.trueBi-Laplacian | Caccioppoli inequality | Hardy-Rellich type inequality | Morse index | Picone inequality | Picone’s identity on Heisenberg group | Variational methodsArticlehttps://link.springer.com/content/pdf/10.1007/s00030-016-0376-z.pdf142090041 April 20161110arJournal9WOS:000374570600005