Positive weak solutions for some semilinear elliptic equations

被引：3
作者：
Huy, NB [1 ]
机构：
[1] Coll Educ, Dept Math, Ho Chi Minh City, Vietnam
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 48卷 / 07期
关键词：
monotone increasing operators in ordered Banach spaces; weak solution; elliptic equation; logistic equation;
D O I：
10.1016/S0362-546X(00)00224-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence and approximation of positive weak solutions for an elliptic semilinear boundary value problem was investigated. The analysis assumed the existence of a subsolution in combination with a priori estimate for the set of all subsolutions. Every increasing sequence was convergent in the fixed point theorem considered.
引用
收藏
页码：939 / 945
页数：7
相关论文
共 11 条
  • [1] FIXED-POINT EQUATIONS AND NONLINEAR EIGENVALUE PROBLEMS IN ORDERED BANACH-SPACES
    AMANN, H
    [J]. SIAM REVIEW, 1976, 18 (04) : 620 - 709
  • [2] BAHTIN LA, 1972, SIBERIAN MATH J, V13
  • [3] BOCCARDO L, 1994, HOUSTON J MATH, V20, P99
  • [4] BREZIS H, 1982, J MATH PURE APPL, V61, P245
  • [5] GENERAL PRINCIPLE ON ORDERED SETS IN NONLINEAR FUNCTIONAL-ANALYSIS
    BREZIS, H
    BROWDER, FE
    [J]. ADVANCES IN MATHEMATICS, 1976, 21 (03) : 355 - 364
  • [6] DANCER EN, 1989, DIFFERENTIAL INTEGRA, V2, P540
  • [7] Heikkila S., 1994, Monotone iterative technique for nonlinear discontinues differential equations
  • [8] Hernandez J, 1998, LECT NOTES PURE APPL, V194, P183
  • [9] Krasnoselskii M. A., 1984, GEOMETRICAL METHODS
  • [10] LIONS JL, 1968, PROBLEMS LIMITES HOM, V1
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