On positive solutions of a class of nonlinear elliptic equations

被引：25
|
作者：
Ehrnstrom, Mats
Mustafa, Octavian G.
机构：
[1] Lund Univ, Dept Math, S-22100 Lund, Sweden
[2] Univ Craiova, Dept Math, Craiova, Romania
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 67卷 / 04期
基金：
美国国家科学基金会;
关键词：
positive solution; nonlinear elliptic equation; exterior domain;
D O I：
10.1016/j.na.2006.07.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the existence of positive solutions vanishing as \x\ ->+infinity to the semilinear elliptic equation Delta u + f (x, u) + g(\x\)x . del u = 0, \x\ > A > 0, in R-n, n >= 3, under mild assumptions on the functions f, g. Conditions for these solutions to be radial are also given. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1147 / 1154
页数：8
相关论文
共 50 条
  • [1] Multiple positive solutions for a class of nonlinear elliptic equations
    Weng, SH
    Li, YQ
    [J]. ADVANCED NONLINEAR STUDIES, 2006, 6 (01) : 47 - 56
  • [2] Multiple positive solutions for a class of nonlinear elliptic equations
    Chen, JQ
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 295 (02) : 341 - 354
  • [3] Positive solutions for a class of elliptic equations
    Zhou, YY
    Huang, YH
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 43 (10-11) : 1271 - 1276
  • [4] Positive solutions for a class of elliptic equations
    Cheng, Xiyou
    Feng, Zhaosheng
    Wei, Lei
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 275 : 1 - 26
  • [5] Positive solutions of nonlinear elliptic equations
    Wong, F. H.
    Wang, S. P.
    Yeh, C. C.
    [J]. APPLIED MATHEMATICS LETTERS, 2008, 21 (03) : 298 - 302
  • [6] On Positive Radial Solutions for a Class of Elliptic Equations
    Wu, Ying
    Han, Guodong
    [J]. SCIENTIFIC WORLD JOURNAL, 2014,
  • [7] On positive solutions for a class of quasilinear elliptic equations
    Cintra, Willian
    Medeiros, Everaldo
    Severo, Uberlandio
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 70 (03):
  • [8] On positive solutions for a class of quasilinear elliptic equations
    Willian Cintra
    Everaldo Medeiros
    Uberlandio Severo
    [J]. Zeitschrift für angewandte Mathematik und Physik, 2019, 70
  • [9] Positive evanescent solutions of nonlinear elliptic equations
    Djebali, Smail
    Moussaoui, Toufik
    Mustafa, Octavian G.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 333 (02) : 863 - 870
  • [10] On the existence of positive solutions of nonlinear elliptic equations
    Mâatoug, L
    Masmoudi, S
    [J]. POTENTIAL ANALYSIS, 2001, 15 (03) : 187 - 197
12345