Remark on some conformally invariant integral equations: the method of moving spheres

2003/07/08 by Yanyan Li, Li, Yanyan · 3 citations
Computer Science · Mathematics · Physics and Astronomy · #35J99 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Partial Differential Equations #math-ph #math.AP #math.DG #math.MP #msc:35J99

paper · pdf · doi:10.48550/arxiv.math/0307093

openalex publication_date 2003/07/08 · arxiv created 2003/07/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study some conformally invariant integral equations using the method of moving spheres.

Citations

• A symmetry problem in potential theory
• Conformal geometry, contact geometry, and the calculus of variations
• Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations
• Global and local behavior of positive solutions of nonlinear elliptic equations

Cited by

• A monotonicity formula for a semilinear fractional parabolic equation
• Isolated Singularities for Fractional Hartree Equations
• Infinitely many solutions to a conformally invariant elliptic equation with Choquard-type nonlinearity

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