A Lane-Emden-Fowler type problem with singular nonlinearity

被引：8

作者：

Covei, Dragos-Patru ^{[1
]}

机构：

[1] W Univ Timisoara, Dept Math, Timisoara 300223, Romania

来源：

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY | 2009年 / 49卷 / 02期

关键词：

GROUND-STATE SOLUTIONS; ASYMPTOTIC-BEHAVIOR; POSITIVE SOLUTIONS; EXISTENCE; EQUATIONS;

D O I：

10.1215/kjm/1256219159

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main purpose of this article is to establish the existence result concerning to the problem -Delta u(x) + c(x)u(x) = a(x)f(u(x)), x is an element of R-N, N > 2, u(x) -> 0 as vertical bar x vertical bar -> infinity. Similary problems have been also studied. The proofs of the existence are based on the maximum principle and sub and super solutions method.

引用

页码：325 / 338

页数：14

共 24 条

[1] Existence theory for single and multiple solutions to singular positone boundary value problems [J].

Agarwal, RP .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2001, 175 (02) :393-414

[2] EXISTENCE AND MULTIPLICITY THEOREMS FOR SEMI-LINEAR ELLIPTIC BOUNDARY-VALUE PROBLEMS [J].

AMANN, H .

MATHEMATISCHE ZEITSCHRIFT, 1976, 150 (03) :281-295

[3]

[Anonymous], 1985, Jpn. J. Math, DOI DOI 10.4099/MATH1924.11.145

[4]

[Anonymous], ELECT J DIFFERENTIAL

[5]

[Anonymous], 1968, TRANSLATIONS MATH MO

[6]

[Anonymous], ELLIPTIC PARTIAL DIF

[7]

[Anonymous], ACTA MATH SINICA

[8] SOME SINGULAR, NON-LINEAR DIFFERENTIAL-EQUATIONS ARISING IN BOUNDARY-LAYER THEORY [J].

CALLEGARI, A ;

NACHMAN, A .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1978, 64 (01) :96-105

[9] Existence and asymptotic behavior of positive solution to a quasilinear elliptic problem in RN [J].

Covei, Dragos-Patru .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (08) :2615-2622

[10] Existence and nonexistence of positive solutions for singular semilinear elliptic boundary value problems [J].

Cui, SB .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 41 (1-2) :149-176

← 1 2 3 →