Nontrivial solutions for a fourth-order elliptic equation of Kirchhoff type via Galerkin method

被引：5
作者：
Wang, Fanglei [1 ]
Ru, Yuanfang [1 ,2 ]
An, Tianqing [1 ]
机构：
[1] Hohai Univ, Dept Math, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China
[2] China Pharmaceut Univ, Coll Sci, Nanjing 211198, Jiangsu, Peoples R China
来源：
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2018年 / 20卷 / 02期
关键词：
Nonlocal elliptic problems; biharmonic operator; Galerkin method; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS; BEAM EQUATION; EXISTENCE;
D O I：
10.1007/s11784-018-0553-2
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 nontrivial solutions of the nonlocal elliptic problem . 2 u - ( a + b O |. u| 2 dx).u + u = ( O g( x, u) dx). f( x, u), in O, [ 1mm] u =.u = 0, on. O via Galerkin method, where O. RN ( N = 5) is a smooth bounded domain.
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页数：9
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