应用数学2025，Vol.38Issue(3)：711-720,10.
非齐次Kirchhoff方程的正规化正基态解
Normalized Positive Ground State Solutions for Nonhomogeneous Kirchhoff Equations
摘要
Abstract
This article studies a class of nonlinear Kirchhoff equations with exponential critical growth,trapping potential,and perturbation.Under appropriate assumptions about f and h,the article obtained the existence of normalized positive solutions for this equation via the Trudinger-Moser inequality and variational methods.Moreover,these solutions are also ground state solutions.Additionally,the article also characterized the asymptotic behavior of solutions.The results of this article expand the research of relevant literature.关键词
正规化正基态解/非齐次Kirchhoff方程/变分方法/指数临界增长/阱位势Key words
Normalized positive ground state solution/Nonhomogeneous Kirchhoff equation/Variational method/Exponential critical growth/Trapping potential分类
数理科学引用本文复制引用
张小藏,许丽萍..非齐次Kirchhoff方程的正规化正基态解[J].应用数学,2025,38(3):711-720,10.基金项目
Supported by National Natural Science Foundation of China(11671403,11671236),Henan Provincial General Natural Science Foundation Project(232300420113) （11671403,11671236）
