p-Laplace问题规范解的存在性  

Existence of Normalized Solutions for p -Laplace Problems

作　　者：刘炳钊 李园园 LIU Bingzhao;LI Yuanyuan(School of Mathematics and Statistics,North China University of Water Resources and Electric Power,Zhengzhou 450046,China)

机构地区：[1]华北水利水电大学数学与统计学院,河南郑州450046

出　　处：《洛阳理工学院学报（自然科学版）》2024年第2期71-78,共8页Journal of Luoyang Institute of Science and Technology：Natural Science Edition

基　　金：国家自然科学基金青年项目(12101236)。

摘　　要：对一类包含p-Laplace算子的非线性问题规范解的存在性进行研究,用极小化方法研究了当微分方程连续且满足某些适当的Berestycki-Lions类型条件下,Nehari-Pohozaev流形的正规范解。The paper investigates the existence of normalized solutions to a class of nonlinear problems containing the p-Laplace operator.It employs a minimization approach to study the regularized solutions on the Nehari-Pohozaev manifold when the differential equations are continuous and satisfy certain appropriate Berestycki-Lions type conditions.

关 键 词：p-Laplace问题 规范解 Nehari-Pohozaev流形 最小化方法 

分 类 号：O175.2[理学—数学] TP311.5[理学—基础数学]