Partial interior regularity for sub-elliptic systems with Dini continuous coefficients in Carnot groups: the sub-quadratic controllable case
Abstract We consider nonlinear sub-elliptic systems with Dini continuous coefficients for the case 1 < m < 2 $1< m<2$ in Carnot groups and prove a C 1 $C^{1}$ -partial regularity result for weak solutions under the controllable growth conditions. Our method of proof for sub-elliptic syst...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-10-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-017-0882-x |