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Interval Oscillation Theorems for the Weighted p-Sub-Laplacian Equation in the Heisenberg Group

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  • Duan Wu
  • Pengcheng Niu
  • Maria L. Gandarias

Abstract

In this paper, we derive a Riccati-type inequality in the Heisenberg group Hn. Based on it, some oscillation criteria are established for the weighted p-sub-Laplacian equations in Hn. Our results generalize the oscillation theorems for p-sub-Laplacian equations in Rn to ones in Hn.

Suggested Citation

  • Duan Wu & Pengcheng Niu & Maria L. Gandarias, 2022. "Interval Oscillation Theorems for the Weighted p-Sub-Laplacian Equation in the Heisenberg Group," Advances in Mathematical Physics, Hindawi, vol. 2022, pages 1-7, June.
    • Handle: RePEc:hin:jnlamp:6231658
    DOI: 10.1155/2022/6231658
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