A Liouville Theorem for a Class of Fractional Systems in ℝⁿ₊

2016/11/28 by Lizhi Zhang, Mei Yu, Zhang, Lizhi +3
Mathematics · #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1611.09133

openalex publication_date 2016/11/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let 0

Citations

• Uniqueness of positive solutions of Δu−u+up=0 in Rn
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Regularity of the obstacle problem for a fractional power of the laplace operator
• Uniqueness of Radial Solutions for the Fractional Laplacian
• Monotonicity and nonexistence results for some fractional elliptic\n problems in the half space

Related

• Existence of entire solutions to a fractional Liouville equation in ℝⁿ
• A Liouville Theorem for the Fractional Laplacian
• Nonradial entire solutions for Liouville systems
• Liouville theorem and isolated singularity of fractional Laplacian system with critical exponents
• n-dimensional Fractional Bessel Operators and Liouville theorems