Nonexistence and existence of positive solutions for the Kirchhoff type equation

被引：6

作者：

Sun, Mingzheng ^{[1
]}

Yang, Ziliang ^{[1
]}

Cai, Hongrui ^{[2
]}

机构：

[1] North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China

[2] Tianjin Univ Technol, Coll Sci, Tianjin 300384, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2019年 / 96卷

关键词：

Kirchhoff equations; Positive solutions; Resonance; NONTRIVIAL SOLUTIONS; MULTIPLE SOLUTIONS; P-LAPLACIAN; NONLINEARITY;

D O I：

10.1016/j.aml.2019.05.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the nonexistence and existence of positive solutions for the Kirchhoff type equation with nonlinearity having prescribed asymptotic behavior. Because of the structure of our equation, our nonexistence results have some special properties, and our conditions for positive solutions are also different from the existing results. (C) 2019 The Author(s). Published by Elsevier Ltd.

引用

页码：202 / 207

页数：6

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