Some New Oscillation Criteria for a Class of Nonlinear Sub Elliptic P-Laplacian Equations on the Heisenberg Group

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DOI: https://doi.org/10.28924/2291-8639-24-2026-319
Published: Oct 5, 2026
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S. Balamani, V. Sadhasivam, S. Priyadharshini, Faisal Salah, K. K. Viswanathan, Some New Oscillation Criteria for a Class of Nonlinear Sub Elliptic P-Laplacian Equations on the Heisenberg Group, Int. J. Anal. Appl., 24 (2026), 319.

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S. Balamani, V. Sadhasivam, S. Priyadharshini, Faisal Salah, K. K. Viswanathan

Abstract

In this article, obtain the some new oscillation criteria for a class of nonlinear sub elliptic p-Laplacian equations on the Heisenberg group. By employing a Riccati transformation and establishing suitable integral conditions, we derive both Fite-type and Philo's-type oscillation criteria for second-order sub-elliptic partial differential equations. The obtained results extend several known oscillation theorems for elliptic and quasilinear equations to the sub-elliptic setting. Examples are provided to illustrate the effectiveness of the main results.

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