Some New Oscillation Criteria for a Class of Nonlinear Sub Elliptic P-Laplacian Equations on the Heisenberg Group
S. BalamaniPG and Research Department of Mathematics , Thiruvalluvar Government Arts College (Affiliated to Periyar University) , Rasipuram -637 401 , Tamil Nadu , IndiaV. SadhasivamPG and Research Department of Mathematics , Thiruvalluvar Government Arts College (Affiliated to Periyar University) , Rasipuram -637 401 , Tamil Nadu , IndiaS PriyadharshiniFaisal SalahDepartment of Mathematics , College of Science and Arts , King Abdulaziz University , Rabigh , Saudi ArabiaK. K. ViswanathanDepartment of Mathematical Modeling , Institute of Artificial Intelligence and Digital Technologies , Samarkand State University , 15 , University Boulevard , Samarkand , 140104 , Uzbekistan
2026
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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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