Optimal partial regularity of discontinuous subelliptic systems with VMO coefficients related to Hörmander’s vector fields

Author:

Zhu Yan,Wang Jialin,Liao Dongni

Abstract

AbstractIn this paper, we study discontinuous subelliptic systems with VMO coefficients related to Hörmander’s vector fields. In the case of growth exponential $p\geq 2$ p 2  , the regularity results of the partial Hölder continuity of weak solutions are established based on the $\mathcal{A}$ A -harmonic approximation method under the controllable growth condition.

Funder

Jialin Wang

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

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