Hölder Regularity of Quasiminimizers to Generalized Orlicz Functional on the Heisenberg Group
In this paper, we apply De Giorgi-Moser iteration to establish the Hölder regularity of quasiminimizers to generalized Orlicz functional on the Heisenberg group by using the Riesz potential, maximal function, Calderón-Zygmund decomposition, and covering Lemma on the context of the Heisenberg Group....
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/8838654 |
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| author | Junli Zhang Pengcheng Niu |
| author_facet | Junli Zhang Pengcheng Niu |
| author_sort | Junli Zhang |
| collection | DOAJ |
| description | In this paper, we apply De Giorgi-Moser iteration to establish the Hölder regularity of quasiminimizers to generalized Orlicz functional on the Heisenberg group by using the Riesz potential, maximal function, Calderón-Zygmund decomposition, and covering Lemma on the context of the Heisenberg Group. The functional includes the p-Laplace functional on the Heisenberg group which has been studied and the variable exponential functional and the double phase growth functional on the Heisenberg group that have not been studied. |
| format | Article |
| id | doaj-art-378d1d2c40ca49bfadeb59d5e3c9696a |
| institution | DOAJ |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-378d1d2c40ca49bfadeb59d5e3c9696a2025-08-20T03:20:30ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/88386548838654Hölder Regularity of Quasiminimizers to Generalized Orlicz Functional on the Heisenberg GroupJunli Zhang0Pengcheng Niu1School of Mathematics and Statistics, Northwestern Polytechnical University, Xi’an, Shaanxi 710129, ChinaSchool of Mathematics and Statistics, Northwestern Polytechnical University, Xi’an, Shaanxi 710129, ChinaIn this paper, we apply De Giorgi-Moser iteration to establish the Hölder regularity of quasiminimizers to generalized Orlicz functional on the Heisenberg group by using the Riesz potential, maximal function, Calderón-Zygmund decomposition, and covering Lemma on the context of the Heisenberg Group. The functional includes the p-Laplace functional on the Heisenberg group which has been studied and the variable exponential functional and the double phase growth functional on the Heisenberg group that have not been studied.http://dx.doi.org/10.1155/2020/8838654 |
| spellingShingle | Junli Zhang Pengcheng Niu Hölder Regularity of Quasiminimizers to Generalized Orlicz Functional on the Heisenberg Group Journal of Function Spaces |
| title | Hölder Regularity of Quasiminimizers to Generalized Orlicz Functional on the Heisenberg Group |
| title_full | Hölder Regularity of Quasiminimizers to Generalized Orlicz Functional on the Heisenberg Group |
| title_fullStr | Hölder Regularity of Quasiminimizers to Generalized Orlicz Functional on the Heisenberg Group |
| title_full_unstemmed | Hölder Regularity of Quasiminimizers to Generalized Orlicz Functional on the Heisenberg Group |
| title_short | Hölder Regularity of Quasiminimizers to Generalized Orlicz Functional on the Heisenberg Group |
| title_sort | holder regularity of quasiminimizers to generalized orlicz functional on the heisenberg group |
| url | http://dx.doi.org/10.1155/2020/8838654 |
| work_keys_str_mv | AT junlizhang holderregularityofquasiminimizerstogeneralizedorliczfunctionalontheheisenberggroup AT pengchengniu holderregularityofquasiminimizerstogeneralizedorliczfunctionalontheheisenberggroup |