Some Remarks on Liouville Type Results For Quasilinear Elliptic Equations

Title
Some Remarks on Liouville Type Results For Quasilinear Elliptic Equations
Publication Date
2003
Author(s)
Du, Yihong
( author )
OrcID: https://orcid.org/0000-0002-1235-0636
Email: ydu@une.edu.au
UNE Id une-id:ydu
Dancer, Edward Norman
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
American Mathematical Society
Place of publication
United States of America
UNE publication id
une:3549
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.
Link
link
Citation
Proceedings of the American Mathematical Society, 131(6), p. 1891-1899
ISSN
1088-6826
0002-9939
Start page
1891
End page
1899

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