Blow-up boundary solutions of semilinear elliptic problems

被引:48
作者
Cîrstea, FS [1 ]
Radulescu, VD [1 ]
机构
[1] Univ Craiova, Dept Math, Craiova 1100, Romania
关键词
large solution; semilinear elliptic problem; entire solution; maximum principle;
D O I
10.1016/S0362-546X(00)00202-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The properties of blow-up boundary solutions of semilinear elliptic problems were studied. Existence theorem for large solutions were proved for bounded domains. The existence and uniqueness of an entire maximal solution was then derived under more general hypothesis.
引用
收藏
页码:521 / 534
页数:14
相关论文
共 13 条
[1]   LARGE SOLUTIONS OF SEMILINEAR ELLIPTIC-EQUATIONS - EXISTENCE, UNIQUENESS AND ASYMPTOTIC-BEHAVIOR [J].
BANDLE, C ;
MARCUS, M .
JOURNAL D ANALYSE MATHEMATIQUE, 1992, 58 :9-24
[2]   REMARKS ON SUBLINEAR ELLIPTIC-EQUATIONS [J].
BREZIS, H ;
OSWALD, L .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1986, 10 (01) :55-64
[3]  
CHENG KS, 1987, T AM MATH SOC, V304, P639
[4]   ON THE STRUCTURE OF THE CONFORMAL SCALAR CURVATURE EQUATION ON R(N) [J].
CHENG, KS ;
NI, WM .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1992, 41 (01) :261-278
[5]   A PROBABILISTIC APPROACH TO ONE CLASS OF NONLINEAR DIFFERENTIAL-EQUATIONS [J].
DYNKIN, EB .
PROBABILITY THEORY AND RELATED FIELDS, 1991, 89 (01) :89-115
[6]   SYMMETRY AND RELATED PROPERTIES VIA THE MAXIMUM PRINCIPLE [J].
GIDAS, B ;
NI, WM ;
NIRENBERG, L .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1979, 68 (03) :209-243
[7]   ON SOLUTIONS OF DELTA-U= F(U) [J].
KELLER, JB .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1957, 10 (04) :503-510
[8]   Entire solution of a singular semilinear elliptic problem [J].
Lair, AV ;
Shaker, AW .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 200 (02) :498-505
[9]   Classical and weak solutions of a singular semilinear elliptic problem [J].
Lair, AV ;
Shaker, AW .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 211 (02) :371-385
[10]  
Lazer AC., 1994, Differential Integral Equations, V7, P1001