Journal
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
Volume 22, Issue 1, Pages 11-23Publisher
GAUTHIER-VILLARS/EDITIONS ELSEVIER
DOI: 10.1016/j.anihpc.2004.03.001
Keywords
linear degenerate elliptic equation; Liouville-type theorem; maximum principle
Categories
Ask authors/readers for more resources
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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
