Nonexistence results of positive solutions for semilinear elliptic equations in Rn

被引：3

作者：

Naito, Y ^{[1
]}

机构：

[1] Kobe Univ, Fac Engn, Dept Appl Math, Nada Ku, Kobe, Hyogo 6578501, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2000年 / 52卷 / 03期

关键词：

semilinear elliptic equations; entire solutions; nonexistence results; Pohozaev identity;

D O I：

10.2969/jmsj/05230637

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the global properties of nonnegative solutions of the semilinear elliptic equations in the entire space. By employing Pohozaev identity in the entire space and the results concerning the asymptotic behavior of nonnegative solutions, we establish some theorems of Liouville type.

引用

页码：637 / 644

页数：8

共 16 条

[1]

BERESTYCKI H, 1983, ARCH RATION MECH AN, V82, P313

[2]

Bianchi G, 1997, COMMUN PART DIFF EQ, V22, P1671

[3] ON THE ELLIPTIC EQUATION DELTA-U+KU(N+2)/(N-2)=0 AND RELATED TOPICS [J].

DING, WY ;

NI, WM .

DUKE MATHEMATICAL JOURNAL, 1985, 52 (02) :485-506

[4] EXISTENCE AND NON-EXISTENCE RESULTS FOR SEMILINEAR ELLIPTIC PROBLEMS IN UNBOUNDED-DOMAINS [J].

ESTEBAN, MJ ;

LIONS, PL .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1982, 93 :1-14

[5] GLOBAL AND LOCAL BEHAVIOR OF POSITIVE SOLUTIONS OF NON-LINEAR ELLIPTIC-EQUATIONS [J].

GIDAS, B ;

SPRUCK, J .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1981, 34 (04) :525-598

[6]

Gilbar D., 1983, ELLIPTIC PARTIAL DIF

[7]

KAWANO N, 1993, FUNKC EKVACIOJ-SER I, V36, P557

[8]

Kusano T., 1987, FUNKC EKVACIOJ-SER I, V30, P269

[9] ON THE ASYMPTOTIC-BEHAVIOR AND RADIAL SYMMETRY OF POSITIVE SOLUTIONS OF SEMILINEAR ELLIPTIC-EQUATIONS IN RN .2. RADIAL SYMMETRY [J].

LI, Y ;

NI, WM .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1992, 118 (03) :223-243

[10] ON CONFORMAL SCALAR CURVATURE EQUATIONS IN RN [J].

LI, Y ;

NI, WM .

DUKE MATHEMATICAL JOURNAL, 1988, 57 (03) :895-924

← 1 2 →