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math.AP2008
Global estimates for degenerate Ornstein-Uhlenbeck operators
M. Bramanti, G. Cupini, E. Lanconelli +1
We consider a class of degenerate Ornstein-Uhlenbeck operators in , of the kind \[ \mathcal{A}\equiv\sum_{i,j=1}^{p_{0}}a_{ij}\partial_{x_{i}x_{j}}^{2} +\sum_{i,j=1…
math.AP2001
A negative answer to a one-dimensional symmetry problem in the Heisenberg group
I. Birindelli, E. Lanconelli
De Giorgi conjectured that bounded monotone solutions to the Ginzburg-Landau equation are constant along hyperplanes, in this paper we prove that in the Heisenberg group this conje…