On the Liouville Property for Divergence Form Operators
1998 ◽
Vol 50
(3)
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pp. 487-496
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Keyword(s):
AbstractIn this paper we construct a bounded strictly positive function σ such that the Liouville property fails for the divergence form operator L= ▽ (σ2▽). Since in addition Δσ/σ is bounded, this example also gives a negative answer to a problem of Berestycki, Caffarelli and Nirenberg concerning linear Schrödinger operators.
2010 ◽
Vol 138
(12)
◽
pp. 4487-4487
Keyword(s):
Keyword(s):