ON A VARIATIONAL APPROACH TO EXISTENCE AND MULTIPLICITY RESULTS FOR SEMIPOSITONE PROBLEMS

被引：0
作者：
Costa, David G. [1 ]
Tehrani, Hossein [1 ]
Yang, Jianfu [2 ]
机构：
[1] Univ Nevada, Dept Math Sci, Las Vegas, NV 89154 USA
[2] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2006年
关键词：
Variational approach; semipositone problems;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we present a novel variational approach to the question of existence and multiplicity of positive solutions to semipositone problems in a bounded smooth domain of R-N. We consider both the sublinear and superlinear cases.
引用
收藏
页数：10
相关论文
共 20 条
  • [1] UNIQUENESS AND STABILITY OF NONNEGATIVE SOLUTIONS FOR SEMIPOSITONE PROBLEMS IN A BALL
    ALI, I
    CASTRO, A
    SHIVAJI, R
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 117 (03) : 775 - 782
  • [2] Allegretto W., 1992, Differ. Integr. Equ, V5, P95
  • [3] EXISTENCE OF STEADY VORTEX RINGS IN AN IDEAL FLUID
    AMBROSETTI, A
    STRUWE, M
    [J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1989, 108 (02) : 97 - 109
  • [4] Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7
  • [5] Ambrosetti A., 1994, Differ. Integr. Equ, V7, P655
  • [6] Anuradha V., 1994, ELECT J DIFFERENTIAL, V4, p1
  • [7] Arcoya D., 1990, ATTI ACCAD NAZ FMNRL, V1, P117
  • [8] BONA JL, 1983, J MATH PURE APPL, V62, P389
  • [9] Brown K.J., 1989, DIFFERENTIAL INTEGRA, V2, P541
  • [10] NON-NEGATIVE SOLUTIONS FOR A CLASS OF RADIALLY SYMMETRIC NON-POSITONE PROBLEMS
    CASTRO, A
    SHIVAJI, R
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 106 (03) : 735 - 740
12