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Nondegeneracy of solutions for a critical Hartree equation
Nonlinear Analysis ( IF 1.3 ) Pub Date : 2020-05-18 , DOI: 10.1016/j.na.2020.111969 Jacques Giacomoni , Yuanhong Wei , Minbo Yang
中文翻译:
临界Hartree方程解的非退化性
更新日期:2020-05-18
Nonlinear Analysis ( IF 1.3 ) Pub Date : 2020-05-18 , DOI: 10.1016/j.na.2020.111969 Jacques Giacomoni , Yuanhong Wei , Minbo Yang
The aim of this paper is to prove the nondegeneracy of the unique positive solutions for the following critical Hartree type equations when is close to 0, where is the Riesz potential and is the upper critical exponent due to the Hardy–Littlewood–Sobolev inequality.
中文翻译:
临界Hartree方程解的非退化性
本文的目的是证明以下临界Hartree型方程唯一正解的非退化性 接近0, 哪里 是里兹的潜力, 是由Hardy–Littlewood–Sobolev不等式引起的最高临界指数。