拟线性Kirchhoff型问题解的存在性  

Existence of Solutions for Quasilinear Kirchhoff Type Problem

作　　者：邹小林 ZOU Xiaolin(School of Mathematics and Statistics, Southwest University, Chongqing 400715, China)

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西南师范大学学报（自然科学版）》2022年第6期45-51,共7页Journal of Southwest China Normal University(Natural Science Edition)

摘　　要：讨论了一类p阶Kirchhoff Neumann边界条件问题非平凡解的存在性.当非线性项满足非线性边界条件以及临界条件时,利用山路引理和集中紧性原理,得到了该方程的一个非平凡解.In this paper,a class of p-Kirchhoff type problem involving nonlinear Neumann boundary condition and critical nonlinear growth has been introduced.With the help of mountain pass lemma and the concentration compactness principle,the existence of nontrivial solution for the problem has been obtained.

关 键 词：p阶Kirchhoff方程 非线性边界条件 临界非线性增长 山路引理 集中紧性原理 

分 类 号：O176.3[理学—数学]