数学
班级(哲学)
类型(生物学)
纯数学
黎曼流形
维数(图论)
多重性(数学)
歧管(流体力学)
数学分析
偏微分方程
计算机科学
地质学
机械工程
古生物学
人工智能
工程类
作者
Xiaojin Bai,Nanbo Chen,Xiaochun Liu
出处
期刊:Discrete and Continuous Dynamical Systems
[American Institute of Mathematical Sciences]
日期:2024-01-01
卷期号:44 (4): 1087-1105
摘要
The paper deals with a parametrized $ p $-Kirchhoff type problem involving a criticalnonlinearity on a closed Riemannian manifold $ (M,{{{g}}}) $ of dimension $ n\geq 3 $. Existence and multiplicity of solutions are obtained under suitable conditions by variation methods. Our results extend and enrich the previous work of E. Hebey [Comm. Partial Differential Equations, 41 (2016), 913-924] from the specific case of $ p = 2 $ to the general case of $ 1<p<n $.
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