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

页数：10

共 20 条

[11] NON-NEGATIVE SOLUTIONS FOR A CLASS OF NON-POSITONE PROBLEMS [J].

CASTRO, A ;

SHIVAJI, R .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1988, 108 :291-302

[12] UNIQUENESS OF NONNEGATIVE SOLUTIONS FOR A SEMIPOSITONE PROBLEM WITH CONCAVE NONLINEARITY [J].

CASTRO, A ;

HASSANPOUR, M ;

SHIVAJI, R .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1995, 20 (11-12) :1927-1936

[13]

Castro A., 1993, Results Math, V23, P214, DOI [10.1007/BF03322297, DOI 10.1007/BF03322297]

[14]

Castro Alfonso, 2000, ELECT J DIFFERENTIAL, V05, P33

[15] VARIATIONAL-METHODS FOR NON-DIFFERENTIABLE FUNCTIONALS AND THEIR APPLICATIONS TO PARTIAL-DIFFERENTIAL EQUATIONS [J].

CHANG, KC .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 80 (01) :102-129

[16] NEW APPROACH TO LAGRANGE MULTIPLIERS. [J].

Clarke, Frank H. .

Mathematics of Operations Research, 1976, 1 (02) :165-174

[17]

CLEMENT P, 1987, ANN SCUOLA NORM SUP, V14, P97

[18]

de Figueiredo D.G., 1981, ESCOLA LATINOAMERICA

[19]

KELLER HB, 1967, J MATH MECH, V16, P1361

[20] Multiple positive solutions for a class of semilinear elliptic boundary value problems [J].

Maya, C ;

Shivaji, R .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 38 (04) :497-504

← 1 2 →