Existence and multiplicity of boundary blow-up nonnegative solutions to two-point boundary value problems

被引:11
作者
Wang, SH [1 ]
机构
[1] Natl Tsing Hua Univ, Dept Math, Hsinchu 300, Taiwan
关键词
boundary blow-up nonnegative solutions; two-point boundary value problems; existence; multiplicity; bifurcation;
D O I
10.1016/S0362-546X(98)00336-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The necessary, sufficient conditions for the existence and the multiplicity of boundary blow-up nonnegative solutions of the two-point boundary value problem are addressed. Reference is made on previous studies concerning this problem. Illustrative examples are also given.
引用
收藏
页码:139 / 162
页数:24
相关论文
共 15 条
[1]   Explosive nonnegative solutions to two point boundary value problems [J].
Anuradha, V ;
Brown, C ;
Shivaji, R .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 26 (03) :613-630
[2]  
BIEBERBACH L, 1916, MATH ANN, V77, P173
[3]   EXPLOSIVE SOLUTIONS OF QUASI-LINEAR ELLIPTIC-EQUATIONS - EXISTENCE AND UNIQUENESS [J].
DIAZ, G ;
LETELIER, R .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1993, 20 (02) :97-125
[4]   THE 1991 WALD MEMORIAL LECTURES - SUPERPROCESSES AND PARTIAL-DIFFERENTIAL EQUATIONS [J].
DYNKIN, EB .
ANNALS OF PROBABILITY, 1993, 21 (03) :1185-1262
[5]  
Dynkin EB, 1996, COMMUN PUR APPL MATH, V49, P125, DOI 10.1002/(SICI)1097-0312(199602)49:2<125::AID-CPA2>3.0.CO
[6]  
2-G
[7]   ON SOLUTIONS OF DELTA-U= F(U) [J].
KELLER, JB .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1957, 10 (04) :503-510
[8]  
Kondratev VA, 1990, DIFF URAVN, V26, P465
[9]   On singular boundary value problems for the Monge-Ampere operator [J].
Lazer, AC ;
McKenna, PJ .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 197 (02) :341-362
[10]   ON A PROBLEM OF BIEBERBACH AND RADEMACHER [J].
LAZER, AC ;
MCKENNA, PJ .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1993, 21 (05) :327-335