A liouville problem for the sigma-2 equation

Sun Yung Alice Chang; Yu Yuan

doi:10.3934/dcds.2010.28.659

A liouville problem for the sigma-2 equation

Sun Yung Alice Chang, Yu Yuan

Mathematics

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

18 Scopus citations

Abstract

We show that any global convex solution to the Sigma-2 equation must be quadratic.

Original language	English (US)
Pages (from-to)	659-664
Number of pages	6
Journal	Discrete and Continuous Dynamical Systems
Volume	28
Issue number	2
DOIs	https://doi.org/10.3934/dcds.2010.28.659
State	Published - Oct 2010

All Science Journal Classification (ASJC) codes

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

Keywords

Evans-Krylov-Safonov theory
Legendre-Lewy transformation
Sigma-2 equation

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10.3934/dcds.2010.28.659

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title = "A liouville problem for the sigma-2 equation",

abstract = "We show that any global convex solution to the Sigma-2 equation must be quadratic.",

keywords = "Evans-Krylov-Safonov theory, Legendre-Lewy transformation, Sigma-2 equation",

author = "Chang, {Sun Yung Alice} and Yu Yuan",

year = "2010",

month = oct,

doi = "10.3934/dcds.2010.28.659",

language = "English (US)",

volume = "28",

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journal = "Discrete and Continuous Dynamical Systems",

issn = "1078-0947",

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AB - We show that any global convex solution to the Sigma-2 equation must be quadratic.

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A liouville problem for the sigma-2 equation

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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