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Multiple positive solutions of nonhomogeneous equations involving the p-Laplacian
被引:10
作者
:
Huang, YS
论文数:
0
引用数:
0
h-index:
0
机构:
Stockholm Univ, Dept Math, S-10691 Stockholm, Sweden
Stockholm Univ, Dept Math, S-10691 Stockholm, Sweden
Huang, YS
[
1
]
机构
:
[1]
Stockholm Univ, Dept Math, S-10691 Stockholm, Sweden
来源
:
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
|
2001年
/ 43卷
/ 07期
关键词
:
Multiple positive solutions;
p-Laplacian;
Critical Sobolev exponent;
D O I
:
10.1016/S0362-546X(99)00248-5
中图分类号
:
O29 [应用数学];
学科分类号
:
070104 ;
摘要
:
A number of solutions for a number of nonhomogeneous equations is presented. These solutions are multiple positive and involves the p-Laplacian. These solutions are proven to satisfy the weak sense.
引用
收藏
页码:905 / 922
页数:18
相关论文
共 16 条
[1]
[Anonymous], 1997, VARIATIONAL METHODS
[2]
MULTIPLICITY OF SOLUTIONS FOR ELLIPTIC PROBLEMS WITH CRITICAL EXPONENT OR WITH A NONSYMMETRIC TERM
AZORERO, JG
论文数:
0
引用数:
0
h-index:
0
AZORERO, JG
ALONSO, IP
论文数:
0
引用数:
0
h-index:
0
ALONSO, IP
[J].
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,
1991,
323
(02)
: 877
-
895
[3]
Extrema problems with critical Sobolev exponents on unbounded domains
BenNaoum, AK
论文数:
0
引用数:
0
h-index:
0
机构:
Institut Mathématìque, Univ. Catholique de Louvain
BenNaoum, AK
Troestler, C
论文数:
0
引用数:
0
h-index:
0
机构:
Institut Mathématìque, Univ. Catholique de Louvain
Troestler, C
Willem, M
论文数:
0
引用数:
0
h-index:
0
机构:
Institut Mathématìque, Univ. Catholique de Louvain
Willem, M
[J].
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,
1996,
26
(04)
: 823
-
833
[4]
Cao Daomin, 1997, DIFFERENTIAL INTEGRA, V10, P797
[5]
MULTIPLE SOLUTIONS FOR NONHOMOGENEOUS ELLIPTIC-EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENT
CAO, DM
论文数:
0
引用数:
0
h-index:
0
机构:
Wuhan Institute of Mathematical Sciences, Academia Sinica, Wuhan, 430071
CAO, DM
LI, GB
论文数:
0
引用数:
0
h-index:
0
机构:
Wuhan Institute of Mathematical Sciences, Academia Sinica, Wuhan, 430071
LI, GB
ZHOU, HS
论文数:
0
引用数:
0
h-index:
0
机构:
Wuhan Institute of Mathematical Sciences, Academia Sinica, Wuhan, 430071
ZHOU, HS
[J].
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,
1994,
124
: 1177
-
1191
[6]
Multiplicity of positive solutions for some quasilinear elliptic equation in R-N with critical Sobolev exponent
Drabek, P
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV MEMPHIS,DEPT MATH SCI,MEMPHIS,TN 38152
UNIV MEMPHIS,DEPT MATH SCI,MEMPHIS,TN 38152
Drabek, P
Huang, YX
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV MEMPHIS,DEPT MATH SCI,MEMPHIS,TN 38152
UNIV MEMPHIS,DEPT MATH SCI,MEMPHIS,TN 38152
Huang, YX
[J].
JOURNAL OF DIFFERENTIAL EQUATIONS,
1997,
140
(01)
: 106
-
132
[7]
Hardy G.H., 1952, INEQUALITIES
[8]
HUANG YS, 1998, MULTIPLE SOLUTIONS Q
[9]
THE EXISTENCE OF A WEAK SOLUTION OF QUASI-LINEAR ELLIPTIC EQUATION WITH CRITICAL SOBOLV EXPONENT ON UNBOUNDED DOMAIN
LI, GB
论文数:
0
引用数:
0
h-index:
0
机构:
CHINESE ACAD SCI,INST MATH SCI,WUHAN 470071,PEOPLES R CHINA
CHINESE ACAD SCI,INST MATH SCI,WUHAN 470071,PEOPLES R CHINA
LI, GB
[J].
ACTA MATHEMATICA SCIENTIA,
1994,
14
(01)
: 64
-
74
[10]
Lions P. L., 1985, Rev. Mat. Iberoam., V1, P145
←
1
2
→
共 16 条
[1]
[Anonymous], 1997, VARIATIONAL METHODS
[2]
MULTIPLICITY OF SOLUTIONS FOR ELLIPTIC PROBLEMS WITH CRITICAL EXPONENT OR WITH A NONSYMMETRIC TERM
AZORERO, JG
论文数:
0
引用数:
0
h-index:
0
AZORERO, JG
ALONSO, IP
论文数:
0
引用数:
0
h-index:
0
ALONSO, IP
[J].
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,
1991,
323
(02)
: 877
-
895
[3]
Extrema problems with critical Sobolev exponents on unbounded domains
BenNaoum, AK
论文数:
0
引用数:
0
h-index:
0
机构:
Institut Mathématìque, Univ. Catholique de Louvain
BenNaoum, AK
Troestler, C
论文数:
0
引用数:
0
h-index:
0
机构:
Institut Mathématìque, Univ. Catholique de Louvain
Troestler, C
Willem, M
论文数:
0
引用数:
0
h-index:
0
机构:
Institut Mathématìque, Univ. Catholique de Louvain
Willem, M
[J].
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,
1996,
26
(04)
: 823
-
833
[4]
Cao Daomin, 1997, DIFFERENTIAL INTEGRA, V10, P797
[5]
MULTIPLE SOLUTIONS FOR NONHOMOGENEOUS ELLIPTIC-EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENT
CAO, DM
论文数:
0
引用数:
0
h-index:
0
机构:
Wuhan Institute of Mathematical Sciences, Academia Sinica, Wuhan, 430071
CAO, DM
LI, GB
论文数:
0
引用数:
0
h-index:
0
机构:
Wuhan Institute of Mathematical Sciences, Academia Sinica, Wuhan, 430071
LI, GB
ZHOU, HS
论文数:
0
引用数:
0
h-index:
0
机构:
Wuhan Institute of Mathematical Sciences, Academia Sinica, Wuhan, 430071
ZHOU, HS
[J].
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,
1994,
124
: 1177
-
1191
[6]
Multiplicity of positive solutions for some quasilinear elliptic equation in R-N with critical Sobolev exponent
Drabek, P
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV MEMPHIS,DEPT MATH SCI,MEMPHIS,TN 38152
UNIV MEMPHIS,DEPT MATH SCI,MEMPHIS,TN 38152
Drabek, P
Huang, YX
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV MEMPHIS,DEPT MATH SCI,MEMPHIS,TN 38152
UNIV MEMPHIS,DEPT MATH SCI,MEMPHIS,TN 38152
Huang, YX
[J].
JOURNAL OF DIFFERENTIAL EQUATIONS,
1997,
140
(01)
: 106
-
132
[7]
Hardy G.H., 1952, INEQUALITIES
[8]
HUANG YS, 1998, MULTIPLE SOLUTIONS Q
[9]
THE EXISTENCE OF A WEAK SOLUTION OF QUASI-LINEAR ELLIPTIC EQUATION WITH CRITICAL SOBOLV EXPONENT ON UNBOUNDED DOMAIN
LI, GB
论文数:
0
引用数:
0
h-index:
0
机构:
CHINESE ACAD SCI,INST MATH SCI,WUHAN 470071,PEOPLES R CHINA
CHINESE ACAD SCI,INST MATH SCI,WUHAN 470071,PEOPLES R CHINA
LI, GB
[J].
ACTA MATHEMATICA SCIENTIA,
1994,
14
(01)
: 64
-
74
[10]
Lions P. L., 1985, Rev. Mat. Iberoam., V1, P145
←
1
2
→