Partial Hölder continuity for nonlinear sub-elliptic systems with VMO-coefficients in the Heisenberg group
We consider nonlinear sub-elliptic systems with VMO-coefficients in the Heisenberg group and prove partial Hölder continuity results for weak solutions using a generalization of the technique of 𝒜{\mathcal{A}}-harmonic approximation. The model case is the following non-degenerate p-sub-Laplace syste...
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De Gruyter
2018-02-01
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| Series: | Advances in Nonlinear Analysis |
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| Online Access: | https://doi.org/10.1515/anona-2015-0182 |
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doaj-19396ef01f1f445c92c776d052d4fab22021-09-06T19:39:54ZengDe GruyterAdvances in Nonlinear Analysis2191-94962191-950X2018-02-01719711610.1515/anona-2015-0182Partial Hölder continuity for nonlinear sub-elliptic systems with VMO-coefficients in the Heisenberg groupWang Jialin0Manfredi Juan J.1School of Mathematics and Computer Science, Gannan Normal University, Ganzhou, Jiangxi341000, P. R. ChinaDepartment of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USAWe consider nonlinear sub-elliptic systems with VMO-coefficients in the Heisenberg group and prove partial Hölder continuity results for weak solutions using a generalization of the technique of 𝒜{\mathcal{A}}-harmonic approximation. The model case is the following non-degenerate p-sub-Laplace system with super-quadratic natural growth with respect to the horizontal gradients Xu:https://doi.org/10.1515/anona-2015-0182partial hölder continuityheisenberg groupnonlinear sub-elliptic systemvmo-coefficientsuper-quadratic natural growth35h20 35b65 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Wang Jialin Manfredi Juan J. |
| spellingShingle |
Wang Jialin Manfredi Juan J. Partial Hölder continuity for nonlinear sub-elliptic systems with VMO-coefficients in the Heisenberg group Advances in Nonlinear Analysis partial hölder continuity heisenberg group nonlinear sub-elliptic system vmo-coefficient super-quadratic natural growth 35h20 35b65 |
| author_facet |
Wang Jialin Manfredi Juan J. |
| author_sort |
Wang Jialin |
| title |
Partial Hölder continuity for nonlinear sub-elliptic systems with VMO-coefficients in the Heisenberg group |
| title_short |
Partial Hölder continuity for nonlinear sub-elliptic systems with VMO-coefficients in the Heisenberg group |
| title_full |
Partial Hölder continuity for nonlinear sub-elliptic systems with VMO-coefficients in the Heisenberg group |
| title_fullStr |
Partial Hölder continuity for nonlinear sub-elliptic systems with VMO-coefficients in the Heisenberg group |
| title_full_unstemmed |
Partial Hölder continuity for nonlinear sub-elliptic systems with VMO-coefficients in the Heisenberg group |
| title_sort |
partial hölder continuity for nonlinear sub-elliptic systems with vmo-coefficients in the heisenberg group |
| publisher |
De Gruyter |
| series |
Advances in Nonlinear Analysis |
| issn |
2191-9496 2191-950X |
| publishDate |
2018-02-01 |
| description |
We consider nonlinear sub-elliptic systems with VMO-coefficients in the Heisenberg group and prove partial Hölder continuity results for weak solutions using a generalization of the technique of 𝒜{\mathcal{A}}-harmonic approximation.
The model case is the following non-degenerate p-sub-Laplace system with super-quadratic natural growth with respect to the horizontal gradients Xu: |
| topic |
partial hölder continuity heisenberg group nonlinear sub-elliptic system vmo-coefficient super-quadratic natural growth 35h20 35b65 |
| url |
https://doi.org/10.1515/anona-2015-0182 |
| work_keys_str_mv |
AT wangjialin partialholdercontinuityfornonlinearsubellipticsystemswithvmocoefficientsintheheisenberggroup AT manfredijuanj partialholdercontinuityfornonlinearsubellipticsystemswithvmocoefficientsintheheisenberggroup |
| _version_ |
1717769750182887424 |