Asymptotic behaviour of solutions to semilinear elliptic equations in unbounded domains

被引：0

作者：

Grishina, GV ^{[1
]}

机构：

[1] Bauman Moscow State Tech Univ, Dept Appl Math, Moscow 105005, Russia

来源：

EQUADIFF 2003: INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS | 2005年

关键词：

D O I：

10.1142/9789812702067_0040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The second order uniformly elliptic equations with lower-order terms is studied in unbounded domains having a various structure at infinity. The homogeneous Neumann boundary conditions are posed on a non-compact part of the boundary. We investigate the asymptotic behaviour of solutions at infinity. In particular, the localization effect for the support of solutions is studied. The conditions on the growth of solutions at infinity, which cannot be realized, are found.

引用

页码：290 / 292

页数：3

共 50 条

[21] ON PAIRS OF DECAYING POSITIVE SOLUTIONS OF SEMILINEAR ELLIPTIC-EQUATIONS IN UNBOUNDED-DOMAINS [J].

CHABROWSKI, J .

BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1990, 4A (01) :21-30

[22] On the existence of a positive solution of semilinear elliptic equations in unbounded domains [J].

Anna Inst Henri Poincare Annal Anal Non Lineaire, 3 (365-413)

[23] ASYMPTOTIC SOLUTIONS OF SEMILINEAR ELLIPTIC-EQUATIONS [J].

KREITH, K ;

SWANSON, CA .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1984, 98 (01) :148-157

[24] On the existence of a positive solution of semilinear elliptic equations in unbounded domains [J].

Bahri, A ;

Lions, PL .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1997, 14 (03) :365-413

[25] NONTRIVIAL SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATIONS ON UNBOUNDED DOMAIN [J].

顾永耕 .

ActaMathematicaScientia, 1989, (01) :83-92

[26] On the asymptotic behaviour of solutions for some semilinear parabolic and elliptic equations of second order [J].

Boni, TK .

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1998, 327 (05) :455-460

[27] SOLUTIONS OF ANISOTROPIC ELLIPTIC EQUATIONS IN UNBOUNDED DOMAINS [J].

Kozhevnikova, L. M. ;

Khadzhi, A. A. .

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[28] POSITIVE SOLUTIONS OF SEMILINEAR ELLIPTIC PROBLEMS IN UNBOUNDED-DOMAINS [J].

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SWANSON, CA .

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