期刊
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
卷 22, 期 1, 页码 11-23出版社
GAUTHIER-VILLARS/EDITIONS ELSEVIER
DOI: 10.1016/j.anihpc.2004.03.001
关键词
linear degenerate elliptic equation; Liouville-type theorem; maximum principle
In this paper we give conditions on the positive function phi(2) under which every bounded solution sigma of the elliptic equation V.(phi(2)delsigma) = 0 in R-n must be constant. The case when phi(2) only depends on one or two variables is discussed at length. Moreover the asymptotic behavior of possibly unbounded solutions is characterized improving in such a way a Liouville theorem due to Berestycki, Caffarelli and Nirenberg. (C) 2004 Elsevier SAS. All rights reserved.
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