A general Liouville type theorem for some conformally invariant fully nonlinear equations

2003/01/21 by Aobing Li, Yanyan Li, YanYan Li +2
Computer Science · Mathematics · #35J60 #53C21 #58J05 #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Partial Differential Equations #math.AP #math.DG #msc:35J60 #msc:53C21 #msc:58J05

paper · pdf · doi:10.48550/arxiv.math/0301239

arxiv created 2003/01/21 · openalex publication_date 2003/01/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish a general Liouville type theorem for conformally invariant fully nonlinear equations.

Citations

• The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian
• Conformal geometry, contact geometry, and the calculus of variations
• Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth

Related

• A Liouville type theorem for some conformally invariant fully nonlinear equations
• Further results on Liouville type theorems for some conformally invariant fully nonlinear equations
• Degenerate conformally invariant fully nonlinear elliptic equations
• On some conformally invariant fully nonlinear equations
• Liouville theorems for conformally invariant fully nonlinear equations. I