Harnack’s inequality for a class of non-divergent equations in the Heisenberg group
Permanent link to this recordhttp://hdl.handle.net/20.500.12613/4878
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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 workInforma UK Limited
Has partCommunications in Partial Differential Equations
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