Harnack inequality for a p-Laplacian equation with a source reaction term involving the product of the function and its gradient
A p-Laplacian type problem with a source reaction term involving the product of the function and its gradient is considered in this paper. A Harnack inequality is proved, and the main idea is based on de Giorgi-Nash-Moser iteration and Moser's iteration technique. As a consequence, $ H\ddot{o}l...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2023059?viewType=HTML |
| _version_ | 1797833666694479872 |
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| author | Bo Chen Junhui Xie |
| author_facet | Bo Chen Junhui Xie |
| author_sort | Bo Chen |
| collection | DOAJ |
| description | A p-Laplacian type problem with a source reaction term involving the product of the function and its gradient is considered in this paper. A Harnack inequality is proved, and the main idea is based on de Giorgi-Nash-Moser iteration and Moser's iteration technique. As a consequence, $ H\ddot{o}lder $ continuity and boundness for the solution of this problem also are obtained. |
| first_indexed | 2024-04-09T14:26:48Z |
| format | Article |
| id | doaj.art-0e5dacafe3da4774891453a4c654be42 |
| institution | Directory Open Access Journal |
| issn | 2688-1594 |
| language | English |
| last_indexed | 2024-04-09T14:26:48Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj.art-0e5dacafe3da4774891453a4c654be422023-05-04T01:23:31ZengAIMS PressElectronic Research Archive2688-15942023-01-013121157116910.3934/era.2023059Harnack inequality for a p-Laplacian equation with a source reaction term involving the product of the function and its gradientBo Chen0Junhui Xie1School of Mathematics and Statistics, Hubei Minzu University, Enshi 445000, ChinaSchool of Mathematics and Statistics, Hubei Minzu University, Enshi 445000, ChinaA p-Laplacian type problem with a source reaction term involving the product of the function and its gradient is considered in this paper. A Harnack inequality is proved, and the main idea is based on de Giorgi-Nash-Moser iteration and Moser's iteration technique. As a consequence, $ H\ddot{o}lder $ continuity and boundness for the solution of this problem also are obtained.https://www.aimspress.com/article/doi/10.3934/era.2023059?viewType=HTMLp-laplaceharnack inequalityde giorgi-nash-moser iterationmoser's iteration |
| spellingShingle | Bo Chen Junhui Xie Harnack inequality for a p-Laplacian equation with a source reaction term involving the product of the function and its gradient Electronic Research Archive p-laplace harnack inequality de giorgi-nash-moser iteration moser's iteration |
| title | Harnack inequality for a p-Laplacian equation with a source reaction term involving the product of the function and its gradient |
| title_full | Harnack inequality for a p-Laplacian equation with a source reaction term involving the product of the function and its gradient |
| title_fullStr | Harnack inequality for a p-Laplacian equation with a source reaction term involving the product of the function and its gradient |
| title_full_unstemmed | Harnack inequality for a p-Laplacian equation with a source reaction term involving the product of the function and its gradient |
| title_short | Harnack inequality for a p-Laplacian equation with a source reaction term involving the product of the function and its gradient |
| title_sort | harnack inequality for a p laplacian equation with a source reaction term involving the product of the function and its gradient |
| topic | p-laplace harnack inequality de giorgi-nash-moser iteration moser's iteration |
| url | https://www.aimspress.com/article/doi/10.3934/era.2023059?viewType=HTML |
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