A Liouville theorem for an integral equation of the Ginzburg-Landau type

2020/06/24 by Yutian Lei, Xin Xu, Lei, Yutian +1
Mathematics · #Spectral Theory in Mathematical Physics #advanced mathematical theories #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2006.14951

Abstract

In this paper, we are concerned with a Liouville-type result of the nonlinear integral equation u(x)=\overrightarrowl+C_*∫_ℝⁿ\fracu(1-|u|²)|x-y|^n-αdy. Here u: ℝⁿ → ℝ^k is a bounded, uniformly continuous and differentiable function with k ≥ 1 and 1

Citations

• Classification of solutions for an integral equation

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