The basin of attraction method for a kind of nonlinear elliptic equations

被引:0
作者
Feng, Yan-qing [1 ]
机构
[1] Changzhou Inst Technol, Dept Math, Changzhou 213002, Jiangsu, Peoples R China
关键词
the basin of attraction; the second order elliptic equation; inequality; homeomorphism;
D O I
10.1186/s13661-014-0190-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a new sufficient condition of the existence and uniqueness of the second order elliptic boundary value problem is given by using the basin of attraction. Some known existent results on the existence of solutions of the nonlinear elliptic equation are generalized.
引用
收藏
页码:1 / 7
页数:7
相关论文
共 5 条
[1]  
DE MARCO G., 1994, NODEA-NONLINEAR DIFF, V1, P229
[2]   CONSTRUCTIVE EXISTENCE FOR SEMILINEAR ELLIPTIC EQUATIONS WITH DISCONTINUOUS COEFFICIENTS [J].
ELCRAT, AR .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1974, 5 (04) :663-672
[3]   Global homeomorphism and applications to the existence and uniqueness of solutions of some differential equations [J].
Feng Yan-qing ;
Wang Zhong-ying ;
Weng Chuan-jun .
ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[4]   A CRITERION OF INVERTIBILITY IN THE LARGE FOR LOCAL DIFFEOMORPHISMS BETWEEN BANACH-SPACES [J].
GORNI, G .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1993, 21 (01) :43-47
[5]  
Ladyzhenskaya OA, 1968, LINEAR QUASILINEAR E, P134