A new approach to some nonlinear geometric equations in dimension two

Fengbo Hang, Xiaodong Wang

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)119-135
Number of pages17
JournalCalculus of Variations and Partial Differential Equations
Volume26
Issue number1
DOIs
StatePublished - May 2006

Fingerprint

Harmonic Maps
Nonlinear equations
Analytic function
Two Dimensions

Keywords

  • Constant curvature surfaces
  • Constant geodesic curvature
  • Liouville type results

ASJC Scopus subject areas

  • Mathematics(all)
  • Analysis
  • Applied Mathematics

Cite this

A new approach to some nonlinear geometric equations in dimension two. / Hang, Fengbo; Wang, Xiaodong.

In: Calculus of Variations and Partial Differential Equations, Vol. 26, No. 1, 05.2006, p. 119-135.

Research output: Contribution to journalArticle

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