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HE LQ NORM IN SOME A PRIORI ESTIMATES FOR NON-DIVERGENCE FORM EQUATIONS IN CARNOT GROUPS DONATELLA DANIELLI, NICOLA GAROFALO, AND DUY-MINH NHIEU (Communicated by David S. Tartakoff) G Abstract. Let be a group of Heisenberg type with homogeneous dimension Q. For every 0 Q we construct a non-divergence form operator L and a non-trivial solution u L2,Q ( ) C( ) to the Dirichlet problem: Lu 0 in , u 0 on . This non-uniqueness result shows the impossibility of c.
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