具有一般非线性项的基尔霍夫方程的规范基态解  

Normalized ground state solutions of Kirchhoff equations with generalized nonlinearities

作　　者：张丁良 罗虎啸 ZHANG Dingliang;LUO Huxiao(School of Mathematical Sciences,Zhejiang Normal University,Jinhua 321004,China)

机构地区：[1]浙江师范大学数学科学学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2024年第3期266-274,共9页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(11901532)。

摘　　要：研究了全空间上带有一般非线性项的基尔霍夫方程规范基态解的存在性问题,利用集中紧性原理证明了极值函数的存在性.另外,根据最小作用解的山路特征,证明了规范基态解与最小作用解是一致的.It was aimed to study the existence of normalized ground state solutions for the Kirchhoff equations with generalized nonlinearity in whole space.By using the concentrated compactness principle,the existence of the extremal function was proved.In addition,according to the mountain pass type characterization of the least action solution,the coincidence of the normalized ground state solution with the least action solution was also presented.

关 键 词：质量约束 规范基态解 最小作用解 基尔霍夫方程 

分 类 号：O175.2[理学—数学]