Conformally invariant fully nonlinear elliptic equations and isolated singularities

2005/04/29 by Yanyan Li, YanYan Li, Li, YanYan · 1 citation
Computer Science · Mathematics · #35J60 #58J05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Partial Differential Equations #math.AP #math.DG #msc:35J60 #msc:58J05

paper · pdf · doi:10.48550/arxiv.math/0504597

some improvement in exposition made

openalex publication_date 2005/04/29 · arxiv created 2005/06/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study solutions to conformally invariant equations with isolated singularties.

Citations

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

Cited by

• Conformal metrics of the ball with constant σ_k-curvature and constant boundary mean curvature

Related

• Degenerate conformally invariant fully nonlinear elliptic equations
• Infinitely many solutions to a conformally invariant elliptic equation with Choquard-type nonlinearity
• Homogeneous Solutions to Fully Nonlinear Elliptic Equations
• The partial uniform ellipticity and prescribed problems on the conformal classes of complete metrics
• Some remarks on singular solutions of nonlinear elliptic equations. I