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    Harnack’s inequality for a class of non-divergent equations in the Heisenberg group

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    Genre
    Pre-print
    Date
    2017-10-03
    Author
    Abedin, F
    Gutiérrez, CE
    Tralli, G
    Subject
    Apriori estimates
    subelliptic equations
    symplectic matrices
    Permanent link to this record
    http://hdl.handle.net/20.500.12613/4878
    
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    DOI
    10.1080/03605302.2017.1384836
    Abstract
    © 2017 Taylor & Francis. We prove an invariant Harnack’s inequality for operators in non-divergence form structured on Heisenberg vector fields when the coefficient matrix is uniformly positive definite, continuous, and symplectic. The method consists in constructing appropriate barriers to obtain pointwise-to-measure estimates for supersolutions in small balls, and then invoking the axiomatic approach developed by Di Fazio, Gutiérrez, and Lanconelli to obtain Harnack’s inequality.
    Citation to related work
    Informa UK Limited
    Has part
    Communications in Partial Differential Equations
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    ae974a485f413a2113503eed53cd6c53
    http://dx.doi.org/10.34944/dspace/4860
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