Multiple positive solutions for a class of Kirchhoff equation on bounded domain

被引：2

作者：

Cai, Li ^{[1
]}

Zhang, Fubao ^{[1
]}

机构：

[1] Southeast Univ, Sch Math, Nanjing, Peoples R China

来源：

APPLICABLE ANALYSIS | 2022年 / 101卷 / 15期

基金：

中国国家自然科学基金;

关键词：

Kirchhoff equation; Lusternik-Schnirelmann theory;

D O I：

10.1080/00036811.2021.1889520

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of multiple positive solutions of the following Kirchhoff equation {-(a + b integral(Omega)vertical bar del u vertical bar(2)dx) Delta u + lambda u = vertical bar u vertical bar(p epsilon-2)u, in Omega, u = 0, in R-3\Omega, u > 0, in Omega, where epsilon > 0, Omega is a regular bounded domain of R-3, lambda >= 0, a, b > 0, p(epsilon) := 6 epsilon > 4. We obtain the existence of cat(Omega)(Omega) + 1 positive solutions by using the variational methods and Lusternik-Schnirelmann theory.

引用

页码：5273 / 5288

页数：16

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