Regularity for a Nonlinear Discontinuous Subelliptic System with Drift on the Heisenberg Group

Junli Zhang, Jialin Wang and Pietro d Avenia

Advances in Mathematical Physics, 2022, vol. 2022, 1-14

Abstract: 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

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:7853139

DOI: 10.1155/2022/7853139

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