Some Remarks on Liouville Type Results For Quasilinear Elliptic Equations

Author(s)
Du, Yihong
Dancer, Edward Norman
Publication Date
2003
Abstract
For a wide class of nonlinearities f(u) satisfying f(0)=f(a)=0, f(u)>0 in (0,a) and f(u)<0 in (a,∞), we show that any nonnegative solution of the quasilinear equation -Δpu=f(u) over the entire ℝ^N must be a constant. Our results improve or complement some recently obtained Liouville type theorems. In particular, we completely answer a question left open by Du and Guo.
Citation
Proceedings of the American Mathematical Society, 131(6), p. 1891-1899
ISSN
1088-6826
0002-9939
Link
https://hdl.handle.net/1959.11/3461
Publisher
American Mathematical Society
Title
Some Remarks on Liouville Type Results For Quasilinear Elliptic Equations
Type of document
Journal Article
Entity Type
Publication

Files:

NameSizeformatDescriptionLink