Existence, multiplicity and infinite solvability of positive solutions for one-dimensional p-Laplacian

被引:11
作者
Yao, QL [1 ]
机构
[1] Nanjing Univ Finance & Econ, Dept Appl Math, Nanjing 210003, Peoples R China
关键词
one-dimensional p-Laplacian; positive solution; existence; multiplicity; infinite solvability;
D O I
10.1007/s10114-004-0401-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The existence, multiplicity and infinite solvability of positive solutions are established for some two-point boundary value problems of one-dimensional p-Laplacian. In this paper, by multiplicity we mean the existence of m solutions, where m is an arbitrary natural number.
引用
收藏
页码:691 / 698
页数:8
相关论文
共 20 条
[1]  
Bai ZB., 1999, CHINESE ANN MATH, V20, P575
[2]  
Coster C, 1994, NONLINEAR ANAL, V23, P669
[3]   MULTIPLE POSITIVE SOLUTIONS OF SOME BOUNDARY-VALUE-PROBLEMS [J].
ERBE, LH ;
HU, SC ;
WANG, HY .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 184 (03) :640-648
[4]   Solutions for a class of singular semilinear elliptic equations [J].
Jin, ZR .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 31 (3-4) :475-492
[5]   Multiple positive solutions for the one-dimensional p-Laplacian [J].
Kong, LB ;
Wang, JY .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 42 (08) :1327-1333
[6]   Multiple positive solutions of semilinear differential equations with singularities [J].
Lan, KQ .
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2001, 63 :690-704
[7]   On the existence of positive solutions of nonlinear second order differential equations [J].
Lian, WC ;
Wong, FH ;
Yeh, CC .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (04) :1117-1126
[8]   Multiple positive solutions of nonlinear two-point boundary value problems [J].
Liu, ZL ;
Li, FY .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 203 (03) :610-625
[9]   TIME-MAPPINGS AND MULTIPLICITY OF SOLUTIONS FOR THE ONE-DIMENSIONAL P-LAPLACIAN [J].
MANASEVICH, R ;
ZANOLIN, F .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1993, 21 (04) :269-291
[10]   Existence and nonexistence of solutions for quasilinear elliptic equations [J].
Montenegro, M ;
Montenegro, M .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 245 (02) :303-316