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

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

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

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Bibliographic Details
Main Authors: Yan Zhu, Jialin Wang, Dongni Liao
Format: Article
Language:English
Published: SpringerOpen 2023-08-01
Series:Boundary Value Problems
Subjects:
Hörmander’s vector fields
Partial regularity
Discontinuous subelliptic systems
VMO coefficients
A $\mathcal{A}$ -harmonic approximation technique
Online Access:https://doi.org/10.1186/s13661-023-01763-w

Internet

https://doi.org/10.1186/s13661-023-01763-w

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