A new approach to some nonlinear geometric equations in dimension two

Fengbo Hang; Xiaodong Wang

doi:10.1007/s00526-005-0372-3

A new approach to some nonlinear geometric equations in dimension two

Fengbo Hang, Xiaodong Wang

Mathematics

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

Abstract

We give new arguments for several Liouville type results related to the equation -Δ u = Ke ^2u . The new approach is based on the holomorphic function associated with any solution, which plays a similar role as the Hopf differential for harmonic maps from a surface.

Original language	English (US)
Pages (from-to)	119-135
Number of pages	17
Journal	Calculus of Variations and Partial Differential Equations
Volume	26
Issue number	1
DOIs	https://doi.org/10.1007/s00526-005-0372-3
State	Published - May 2006

Keywords

Constant curvature surfaces
Constant geodesic curvature
Liouville type results

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1007/s00526-005-0372-3

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title = "A new approach to some nonlinear geometric equations in dimension two",

abstract = "We give new arguments for several Liouville type results related to the equation -Δ u = Ke 2u . The new approach is based on the holomorphic function associated with any solution, which plays a similar role as the Hopf differential for harmonic maps from a surface.",

keywords = "Constant curvature surfaces, Constant geodesic curvature, Liouville type results",

author = "Fengbo Hang and Xiaodong Wang",

year = "2006",

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doi = "10.1007/s00526-005-0372-3",

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KW - Constant geodesic curvature

KW - Liouville type results

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A new approach to some nonlinear geometric equations in dimension two

Abstract

Keywords

ASJC Scopus subject areas

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