A Liouville theorem for conformal Gaussian curvature type equations in R²

Yihong Du; Li Ma

doi:10.1007/s00526-011-0419-6

A Liouville theorem for conformal Gaussian curvature type equations in R²

Yihong Du
, Li Ma

Mathematics

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

1 Citation (Scopus)

Abstract

In this paper, we obtain a Liouville type theorem for a class of elliptic equations including the conformal Gaussian curvature equation... We notice that all these previous studies require that K(x) has a fixed sign near infinity or K(x) decays to 0 at infinity. In this paper we are mainly concerned with the case that K(x) does not have these properties.

Original language	English
Pages (from-to)	485-505
Journal	Calculus of Variations and Partial Differential Equations
Volume	43
Issue number	3-4
DOIs	https://doi.org/10.1007/s00526-011-0419-6
Publication status	Published - 2012

Keywords

Partial Differential Equations

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10.1007/s00526-011-0419-6

https://hdl.handle.net/1959.11/10543

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title = "A Liouville theorem for conformal Gaussian curvature type equations in R²",

abstract = "In this paper, we obtain a Liouville type theorem for a class of elliptic equations including the conformal Gaussian curvature equation... We notice that all these previous studies require that K(x) has a fixed sign near infinity or K(x) decays to 0 at infinity. In this paper we are mainly concerned with the case that K(x) does not have these properties.",

keywords = "Partial Differential Equations",

author = "Yihong Du and Li Ma",

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T1 - A Liouville theorem for conformal Gaussian curvature type equations in R²

AU - Du, Yihong

AU - Ma, Li

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AB - In this paper, we obtain a Liouville type theorem for a class of elliptic equations including the conformal Gaussian curvature equation... We notice that all these previous studies require that K(x) has a fixed sign near infinity or K(x) decays to 0 at infinity. In this paper we are mainly concerned with the case that K(x) does not have these properties.

KW - Partial Differential Equations

U2 - 10.1007/s00526-011-0419-6

DO - 10.1007/s00526-011-0419-6

M3 - Article

SN - 0944-2669

VL - 43

SP - 485

EP - 505

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

IS - 3-4

ER -

A Liouville theorem for conformal Gaussian curvature type equations in R²

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