Normalized Solutions of Nonlinear Choquard Equations with Nonconstant Potential  

一类带有非常数位势的非线性Choquard方程正规化解的存在性

作　　者：LI Nan XU Liping 李楠;许丽萍(河南科技大学数学与统计学院,河南洛阳471000)

机构地区：[1]School of Mathematics and Statistics,Henan University of Science and Technology,Luoyang 471000,China

出　　处：《应用数学》2025年第1期14-29,共16页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11671403,11671236,12101192);Henan Provincial General Natural Science Foundation Project(232300420113)。

摘　　要：In this paper,we mainly focus on a type of nonlinear Choquard equations with nonconstant potential.Under appropriate hypotheses on potential function and nonlinear terms,we prove that the above Choquard equation with prescribed 2-norm has some normalized solutions by introducing variational methods.本文研究一类带有非常数位势的非线性Choquard方程,当位势函数和非线性项满足一定条件时,利用变分方法证明了上述Choquard方程正规化解的存在性.

关 键 词：Nonlinear Choquard equation Potential function Variational method Normalized solution 

分 类 号：O175.29[理学—数学]