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.
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G. Dwivedi thanks IIT Gandhinagar for the financial support.
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Dwivedi, G., Tyagi, J. Picone’s identity for biharmonic operators on Heisenberg group and its applications. Nonlinear Differ. Equ. Appl. 23, 10 (2016). https://doi.org/10.1007/s00030-016-0376-z
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DOI: https://doi.org/10.1007/s00030-016-0376-z