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

[11] Existence and asymptotic behaviour of large solutions of semilinear elliptic equations [J].

Mâagli, H ;

Masmoudi, S .

POTENTIAL ANALYSIS, 2002, 17 (04) :337-350

[12] Behaviour at infinity of solutions of pseudodifferential elliptic equations in unbounded domains [J].

Kozhevnikova, L. M. .

SBORNIK MATHEMATICS, 2008, 199 (7-8) :1169-1200

[13] On the Asymptotic Behaviour of the Solutions of the Equations of Linear Elastodynamics in Unbounded Domains [J].

Russo, Antonio ;

Tartaglione, Alfonsina .

JOURNAL OF ELASTICITY, 2009, 95 (1-2) :43-56

[14] On the Asymptotic Behaviour of the Solutions of the Equations of Linear Elastodynamics in Unbounded Domains [J].

Antonio Russo ;

Alfonsina Tartaglione .

Journal of Elasticity, 2009, 95 :43-56

[15] Existence of 2-Nodal Solutions for Semilinear Elliptic Equations in Unbounded Domains [J].

Li, Tiexiang ;

Lin, Huei-li ;

Wu, Tsung-fang .

ADVANCED NONLINEAR STUDIES, 2010, 10 (01) :1-21

[16] SEMILINEAR ELLIPTIC-EQUATIONS ON UNBOUNDED-DOMAINS [J].

BURTON, GR .

MATHEMATISCHE ZEITSCHRIFT, 1985, 190 (04) :519-525

[17] Positive solutions of semilinear elliptic problems in unbounded domains with unbounded boundary [J].

Cerami, Giovanna ;

Molle, Riccardo ;

Passaseo, Donato .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2007, 24 (01) :41-60

[18] Asymptotic behavior of solutions to elliptic and parabolic equations with unbounded coefficients of the second order in unbounded domains [J].

Hideo Kozono ;

Yutaka Terasawa ;

Yuta Wakasugi .

Mathematische Annalen, 2021, 380 :1105-1117

[19] Asymptotic behavior of solutions to elliptic and parabolic equations with unbounded coefficients of the second order in unbounded domains [J].

Kozono, Hideo ;

Terasawa, Yutaka ;

Wakasugi, Yuta .

MATHEMATISCHE ANNALEN, 2021, 380 (3-4) :1105-1117

[20] Exactly two positive solutions of nonhomogeneous semilinear elliptic equations in unbounded cylinder domains [J].

Hsu, TS .

DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2005, 12 (05) :685-705

← 1 2 3 4 5 →