Interval Oscillation Theorems for the Weighted p-Sub-Laplacian Equation in the Heisenberg Group
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.
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/6231658 |
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| _version_ | 1832554972479225856 |
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| author | Duan Wu Pengcheng Niu |
| author_facet | Duan Wu Pengcheng Niu |
| author_sort | Duan Wu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-af775684e07b43c2a75702731bcc284a |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-af775684e07b43c2a75702731bcc284a2025-02-03T05:49:58ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/6231658Interval Oscillation Theorems for the Weighted p-Sub-Laplacian Equation in the Heisenberg GroupDuan Wu0Pengcheng Niu1School of Mathematics and StatisticsSchool of Mathematics and StatisticsIn 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.http://dx.doi.org/10.1155/2022/6231658 |
| spellingShingle | Duan Wu Pengcheng Niu Interval Oscillation Theorems for the Weighted p-Sub-Laplacian Equation in the Heisenberg Group Advances in Mathematical Physics |
| title | Interval Oscillation Theorems for the Weighted p-Sub-Laplacian Equation in the Heisenberg Group |
| title_full | Interval Oscillation Theorems for the Weighted p-Sub-Laplacian Equation in the Heisenberg Group |
| title_fullStr | Interval Oscillation Theorems for the Weighted p-Sub-Laplacian Equation in the Heisenberg Group |
| title_full_unstemmed | Interval Oscillation Theorems for the Weighted p-Sub-Laplacian Equation in the Heisenberg Group |
| title_short | Interval Oscillation Theorems for the Weighted p-Sub-Laplacian Equation in the Heisenberg Group |
| title_sort | interval oscillation theorems for the weighted p sub laplacian equation in the heisenberg group |
| url | http://dx.doi.org/10.1155/2022/6231658 |
| work_keys_str_mv | AT duanwu intervaloscillationtheoremsfortheweightedpsublaplacianequationintheheisenberggroup AT pengchengniu intervaloscillationtheoremsfortheweightedpsublaplacianequationintheheisenberggroup |