Radial solutions of semilinear elliptic equations with prescribed asymptotic behavior

被引：1

作者：

Ibrahim, Hassan ^{[1
]}

机构：

[1] Lebanese Univ, Dept Math, Fac Sci 1, Hadath, Lebanon

来源：

MATHEMATISCHE NACHRICHTEN | 2020年 / 293卷 / 08期

关键词：

asymptotic behavior; semilinear elliptic equations; EXISTENCE;

D O I：

10.1002/mana.201900003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider semilinear elliptic equations of the form Delta u + g(u) = 0 on R-N. Given a suitable positive root z of g, we discuss the existence of positive radial solutions u with u(infinity) = z.

引用

页码：1481 / 1489

页数：9

共 50 条

[1] Asymptotic behavior of radial solutions for a class of semilinear elliptic equations
Chen, SH
Lu, GZ
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1997, 133 (02) : 340 - 354
[2] Asymptotic behavior of stable radial solutions of semilinear elliptic equations in RN
Villegas, Salvador
[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2007, 88 (03): : 241 - 250
[3] RADIAL SOLUTIONS OF SEMILINEAR ELLIPTIC-EQUATIONS WITH PRESCRIBED NUMBERS OF ZEROS
MAIER, S
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1994, 107 (01) : 175 - 205
[4] ASYMPTOTIC BEHAVIOR OF SINGULAR SOLUTIONS TO SEMILINEAR FRACTIONAL ELLIPTIC EQUATIONS
Lin, Guowei
Zheng, Xiongjun
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
[5] 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
[6] Asymptotic behavior of entire large solutions to semilinear elliptic equations
Wan, Haitao
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 448 (01) : 44 - 59
[7] Asymptotic behavior of positive solutions of inhomogeneous semilinear elliptic equations
Bae, S
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 51 (08) : 1373 - 1403
[8] Asymptotic behavior of solutions to semilinear elliptic equations with hardy potential
Han, Pigong
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 135 (02) : 365 - 372
[9] Asymptotic Behavior of Positive Solutions of Semilinear Elliptic Equations in R~n, Ⅱ
Bai Shun LAI Institute of Contemporary Mathematics
[J]. Acta Mathematica Sinica,English Series, 2010, 26 (09) : 1723 - 1738
[10] Asymptotic behavior of solutions of semilinear elliptic equations near an isolated singularity
Cirstea, Florica Corina
Du, Yihong
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2007, 250 (02) : 317 - 346

← 1 2 3 4 5 →