Regularity for a Nonlinear Discontinuous Subelliptic System with Drift on the Heisenberg Group
In this paper, we prove the partial Hölder regularity of weak solutions and the partial Morrey regularity to horizontal gradients of weak solutions to a nonlinear discontinuous subelliptic system with drift on the Heisenberg group by the A-harmonic approximation, where the coefficients in the nonlin...
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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/10.1155/2022/7853139 |
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| _version_ | 1832564617530834944 |
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| author | Junli Zhang Jialin Wang |
| author_facet | Junli Zhang Jialin Wang |
| author_sort | Junli Zhang |
| collection | DOAJ |
| description | In this paper, we prove the partial Hölder regularity of weak solutions and the partial Morrey regularity to horizontal gradients of weak solutions to a nonlinear discontinuous subelliptic system with drift on the Heisenberg group by the A-harmonic approximation, where the coefficients in the nonlinear subelliptic system are discontinuous and satisfy the VMO condition for x, ellipticity and growth condition with the growth index 1<p<2 for the Heisenberg gradient variable, and the nonhomogeneous terms satisfy the controllable growth condition and the natural growth condition, respectively. |
| format | Article |
| id | doaj-art-7e180392258646869ee31835ce64b250 |
| 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-7e180392258646869ee31835ce64b2502025-02-03T01:10:37ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/7853139Regularity for a Nonlinear Discontinuous Subelliptic System with Drift on the Heisenberg GroupJunli Zhang0Jialin Wang1School of Mathematics and StatisticsSchool of Mathematics and Computer ScienceIn this paper, we prove the partial Hölder regularity of weak solutions and the partial Morrey regularity to horizontal gradients of weak solutions to a nonlinear discontinuous subelliptic system with drift on the Heisenberg group by the A-harmonic approximation, where the coefficients in the nonlinear subelliptic system are discontinuous and satisfy the VMO condition for x, ellipticity and growth condition with the growth index 1<p<2 for the Heisenberg gradient variable, and the nonhomogeneous terms satisfy the controllable growth condition and the natural growth condition, respectively.http://dx.doi.org/10.1155/2022/7853139 |
| spellingShingle | Junli Zhang Jialin Wang Regularity for a Nonlinear Discontinuous Subelliptic System with Drift on the Heisenberg Group Advances in Mathematical Physics |
| title | Regularity for a Nonlinear Discontinuous Subelliptic System with Drift on the Heisenberg Group |
| title_full | Regularity for a Nonlinear Discontinuous Subelliptic System with Drift on the Heisenberg Group |
| title_fullStr | Regularity for a Nonlinear Discontinuous Subelliptic System with Drift on the Heisenberg Group |
| title_full_unstemmed | Regularity for a Nonlinear Discontinuous Subelliptic System with Drift on the Heisenberg Group |
| title_short | Regularity for a Nonlinear Discontinuous Subelliptic System with Drift on the Heisenberg Group |
| title_sort | regularity for a nonlinear discontinuous subelliptic system with drift on the heisenberg group |
| url | http://dx.doi.org/10.1155/2022/7853139 |
| work_keys_str_mv | AT junlizhang regularityforanonlineardiscontinuoussubellipticsystemwithdriftontheheisenberggroup AT jialinwang regularityforanonlineardiscontinuoussubellipticsystemwithdriftontheheisenberggroup |