Some Remarks Related to De Giorgi's Conjecture

Yihong Du; Li Ma

Some Remarks Related to De Giorgi's Conjecture

Yihong Du, Li Ma

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	2415-2422
Journal	Proceedings of the American Mathematical Society
Volume	131
Issue number	8
Publication status	Published - 2003

Keywords

Ordinary Differential Equations, Difference Equations and Dynamical Systems

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title = "Some Remarks Related to De Giorgi's Conjecture",

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.",

keywords = "Ordinary Differential Equations, Difference Equations and Dynamical Systems",

author = "Yihong Du and Li Ma",

year = "2003",

language = "English",

volume = "131",

pages = "2415--2422",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

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T1 - Some Remarks Related to De Giorgi's Conjecture

AU - Du, Yihong

AU - Ma, Li

PY - 2003

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N2 - 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.

AB - 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.

KW - Ordinary Differential Equations, Difference Equations and Dynamical Systems

UR - http://www.jstor.org/stable/info/1194269

UR - https://www.scopus.com/pages/publications/0042745489

M3 - Article

SN - 0002-9939

VL - 131

SP - 2415

EP - 2422

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 8

ER -

Some Remarks Related to De Giorgi's Conjecture

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