Multiple positive solutions for elliptic boundary value problems

被引:6
作者
Drábek, P
Robinson, SB
机构
[1] Univ W Bohemia, Dept Math, Plzen 30614, Czech Republic
[2] Wake Forest Univ, Dept Math, Winston Salem, NC 27109 USA
关键词
D O I
10.1216/rmjm/1181069490
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We extend ODE results of Henderson and Thompson, see [10], to a large class of boundary value problems for both ODEs and PDEs. Our method of proof combines upper and lower solutions with degree theory.
引用
收藏
页码:97 / 113
页数:17
相关论文
共 20 条
[11]   Multiple symmetric positive solutions for a second order boundary value problem [J].
Henderson, J ;
Thompson, HB .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (08) :2373-2379
[12]  
HENDERSON J, 2000, COMMUNICATIONS APPL, V7, P55
[13]  
KAZUAKI T, 1998, J DIFFER EQUATIONS, V142, P434
[14]   On the exactness of an S-shaped bifurcation curve [J].
Korman, P ;
Li, Y .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (04) :1011-1020
[15]  
Krasnoselskii M. A., 1964, Positive Solutions of Operator Equations
[16]   MULTIPLE POSITIVE FIXED-POINTS OF NON-LINEAR OPERATORS ON ORDERED BANACH-SPACES [J].
LEGGETT, RW ;
WILLIAMS, LR .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1979, 28 (04) :673-688
[17]   Equations of gas combustion: S-shaped bifurcation and mushrooms [J].
Mizoguchi, N ;
Suzuki, T .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1997, 134 (02) :183-215
[18]   REMARKS ON AN S-SHAPED BIFURCATION CURVE [J].
SHIVAJI, R .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 111 (02) :374-387
[19]  
Shivaji R., 1987, LECT NOTES PURE APPL, V109, P561
[20]   ON S-SHAPED BIFURCATION CURVES [J].
WANG, SH .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 22 (12) :1475-1485