SEMILINEAR ELLIPTIC BOUNDARY-VALUE PROBLEMS ON BOUNDED MULTICONNECTED DOMAINS

被引：0

作者：

Gao, Wenjie ^{[1
]}

Wang, Junyu ^{[1
]}

Zhang, Zhongxin ^{[1
]}

机构：

[1] Jilin Univ, Inst Math, Changchun 130012, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2005年

关键词：

Semilnear elliptic boundary-value problem; nonnegative solution; radial solution; nonexistence; existence; multiplicity;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A semilinear elliptic boundary-value problem on bounded multi-connected domains is studied. The authors prove that under suitable conditions, the problem may have no solutions in certain cases and many have one or two nonnegative solutions in some other cases. The radial solutions were also studied in annular domains.

引用

页数：11

共 50 条

[1] SEMILINEAR ELLIPTIC BOUNDARY-VALUE PROBLEMS IN UNBOUNDED DOMAINS
BOSE, DK
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1977, 77 : 177 - 192
[2] NONSELFADJOINT SEMILINEAR ELLIPTIC BOUNDARY-VALUE PROBLEMS
CANADA, A
[J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 1987, 148 : 237 - 250
[3] Semilinear elliptic boundary-value problems in combustion theory
Taira, K
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2002, 132 : 1453 - 1476
[4] SEMILINEAR ELLIPTIC BOUNDARY-VALUE PROBLEMS WITH SMALL PARAMETERS
FIFE, PC
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1973, 52 (03) : 204 - 232
[5] BOUNDARY-VALUE PROBLEMS FOR SEMILINEAR ELLIPTIC-EQUATIONS OF ARBITRARY ORDER IN UNBOUNDED-DOMAINS
SCHECHTER, M
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1988, 18 (03) : 519 - 534
[6] BOUNDARY-VALUE PROBLEMS FOR ELLIPTIC EQUATIONS IN DOMAINS WITH UNRESTRICTED BOUNDARY
BAGIROV, LA
FEIGIN, VI
[J]. DOKLADY AKADEMII NAUK SSSR, 1973, 211 (01): : 23 - 26
[7] NONLINEAR ELLIPTIC BOUNDARY-VALUE PROBLEMS IN UNBOUNDED DOMAINS
HESS, P
[J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1975, 281 (14): : 555 - 557
[8] MULTIPLICITY RESULTS FOR A CLASS OF SEMILINEAR ELLIPTIC AND PARABOLIC BOUNDARY-VALUE PROBLEMS
LAZER, AC
MCKENNA, PJ
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 107 (02) : 371 - 395
[9] Radial Symmetry for Elliptic Boundary-Value Problems on Exterior Domains
Wolfgang Reichel
[J]. Archive for Rational Mechanics and Analysis, 1997, 137 : 381 - 394
[10] Radial symmetry for elliptic boundary-value problems on exterior domains
Reichel, W
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1997, 137 (04) : 381 - 394

← 1 2 3 4 5 →