Boundary Value Problems (Aug 2023)
Optimal partial regularity of discontinuous subelliptic systems with VMO coefficients related to Hörmander’s vector fields
Abstract
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 $\mathcal{A}$ -harmonic approximation method under the controllable growth condition.
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