吉林大学学报（理学版）2025，Vol.63Issue(5)：1247-1259,13.DOI:10.13413/j.cnki.jdxblxb.2024518
一类临界Kirchhoff-Choquard型问题正基态解的存在性
Existence of Positive Ground State Solutions for a Class of Critical Kirchhoff-Choquard Type Problems
摘要
Abstract
We considered the existence of positive ground state solutions for a class of critical Kirchhoff-Choquard type problems.Firstly,we used the properties and integral estimates of the truncated function to classify the upper critical exponents,and applied some integrable conditions to the potential function.Secondly,by introducing the Nehari manifold and utilizing the Ekeland variational principle,we obtain that there is at least one positive ground state solution to the problems under appropriate parameter assumptions.关键词
Kirchhoff-Choquard型问题/临界指数/Nehari流形/正基态解Key words
Kirchhoff-Choquard type problem/critical exponent/Nehari manifold/positive ground state solution分类
数理科学引用本文复制引用
马季,桑彦彬..一类临界Kirchhoff-Choquard型问题正基态解的存在性[J].吉林大学学报（理学版）,2025,63(5):1247-1259,13.基金项目
山西省基础研究计划资助项目(批准号:202103021224198). （批准号:202103021224198）
