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

Junli Zhang and Jialin Wang

Advances in Mathematical Physics, 2022, vol. 2022, issue 1

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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https://doi.org/10.1155/2022/7853139

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:7853139

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