Some Remarks Related to De Giorgi's Conjecture

Title
Some Remarks Related to De Giorgi's Conjecture
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
Ma, Li
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:3553
Abstract
For several classes of functions including the special case f(u)=u-u³, we obtain boundedness and symmetry results for solutions of the problem -∆u=f(u) defined on Rⁿ. Our results complement a number of recent results related to a conjecture of De Giorgi.
Link
Citation
Proceedings of the American Mathematical Society, 131(8), p. 2415-2422
ISSN
1088-6826
0002-9939
Start page
2415
End page
2422

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