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math.AP2013
Removable sets for Lipschitz harmonic functions on Carnot groups
Vasilis Chousionis, Valentino Magnani, Jeremy T. Tyson
Let G be a Carnot group with homogeneous dimension Q larger than 2 and let L be a sub-Laplacian on G. We prove that the critical dimension for removable sets of Lipschitz L-harmoni…
math.AP2013★ 2 cited
Removable sets for homogeneous linear PDE in Carnot groups
Vasilis Chousionis, Jeremy T. Tyson
Let $\cL$ be a homogeneous left invariant differential operator on a Carnot group. Assume that both $\cL$ and $\cL^t$ are hypoelliptic. We study the removable sets for $\cL$-soluti…