On the Liouville Property for Divergence Form Operators
نویسنده
چکیده
In this paper we construct a bounded strictly positive function õ such that the Liouville property fails for the divergence form operator L ≥ r(õ2r). Since in addition ∆õÛõ is bounded, this example also gives a negative answer to a problem of Berestycki, Caffarelli and Nirenberg concerning linear Schrödinger operators.
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