This paper demonstrates optimal Hölder continuity in weak solutions for sub-elliptic systems, suggesting new approaches to understanding Hörmander's vector fields.
This paper studies discontinuous quasilinear sub-elliptic systems associated with Hörmander’s vector fields under controllable and natural growth conditions. By a new A-harmonic approximation reformulation for bilinear forms A∈Bil(RkN,RkN), we obtain optimal partial Hölder continuity with exact exponents for weak solutions with vanishing mean oscillation coefficients.
No takes yet. Share an insight, caveat, or question.
Liao et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: