Multiplicity of Solutions for Kirchhoff-Type Problem with Two-Superlinear Potentials

被引：7
|
作者：
Liu, Guanggang [1 ]
Shi, Shaoyun [2 ,3 ]
Wei, Yucheng [4 ]
机构：
[1] Liaocheng Univ, Sch Math Sci, Liaocheng 252000, Shandong, Peoples R China
[2] Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China
[3] Jilin Univ, State Key Lab Automot Simulat & Control, Changchun 130012, Jilin, Peoples R China
[4] Hechi Univ, Dept Math, Yizhou 546300, Peoples R China
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2019年 / 42卷 / 04期
关键词：
Kirchhoff-type problem; Mountain Pass theorem; Nehari method; Iterative technique; EXISTENCE; EQUATIONS;
D O I：
10.1007/s40840-017-0571-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider a class of Kirchhoff-type problem with 2-superlinear potentials. The existence of one positive solution and one negative solution will be established by using iterative technique and the Mountain Pass theorem, and a sign changing solution will be obtained by combining iterative technique and the Nehari method.
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页码：1657 / 1673
页数：17
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