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 50 条

[1] The theorem of nonexistence of positive solutions for semilinear elliptic equations
Il'yasov, YS
[J]. DOKLADY AKADEMII NAUK, 1999, 364 (01) : 11 - 13
[2] NONEXISTENCE RESULTS FOR SOLUTIONS OF SEMILINEAR ELLIPTIC-EQUATIONS
BENGURIA, RD
LORCA, S
YARUR, CS
[J]. DUKE MATHEMATICAL JOURNAL, 1994, 74 (03) : 615 - 634
[3] Multiplicity of positive solutions for semilinear elliptic equations in RN
Wu, Tsung-Fang
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2008, 138 : 647 - 670
[4] ASYMPTOTIC BEHAVIOR OF POSITIVE SOLUTIONS TO SEMILINEAR ELLIPTIC EQUATIONS IN Rn
Lai, Baishun
Luo, Qing
Zhou, Shuqing
[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2011, 48 (02) : 431 - 447
[5] On the existence and nonexistence of positive entire large solutions for semilinear elliptic equations
Boureanu, Maria-Magdalena
[J]. ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2009, 17 (01): : 23 - 36
[6] ON THE POSITIVE RADIAL SOLUTIONS OF SOME SEMILINEAR ELLIPTIC-EQUATIONS ON RN
NI, WM
[J]. APPLIED MATHEMATICS AND OPTIMIZATION, 1983, 9 (04): : 373 - 380
[7] Asymptotic behavior of positive solutions of semilinear elliptic equations in Rn, II
Lai, Bai Shun
Zhou, Shu Qing
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (09) : 1723 - 1738
[8] Existence of solutions for semilinear elliptic equations on RN
Pei, Ruichang
Zhang, Jihui
[J]. BOUNDARY VALUE PROBLEMS, 2013,
[9] Existence of solutions for semilinear elliptic equations on RN
Ruichang Pei
Jihui Zhang
[J]. Boundary Value Problems, 2013
[10] Nonexistence of positive solutions for a class of semilinear elliptic systems
Dang, H.
Oruganti, S.
Shivaji, R.
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2006, 36 (06) : 1845 - 1855

← 1 2 3 4 5 →