Singular solutions on a submanifold of nonlinear elliptic equations

被引:0
|
作者
Grillot, M
机构
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove existence and uniqueness of solutions of the equation -Delta mu + \mu\(q-1) mu = 0, q > 1, which are singular on some submanifold, this is done by studying the asymptotic behaviour of u near its singularities.
引用
收藏
页码:49 / 54
页数:6
相关论文
共 50 条
  • [1] Solutions of some nonlinear elliptic problems, which are singular on a submanifold
    Grillot, M
    [J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1997, 76 (09): : 757 - 776
  • [2] On Singular Solutions of Nonlinear Elliptic and Parabolic Equations
    Louis Nirenberg
    [J]. Milan Journal of Mathematics, 2011, 79 : 3 - 12
  • [3] On Singular Solutions of Nonlinear Elliptic and Parabolic Equations
    Nirenberg, Louis
    [J]. MILAN JOURNAL OF MATHEMATICS, 2011, 79 (01) : 3 - 12
  • [4] Positive solutions for singular nonlinear elliptic equations
    Hernandez, Jesus
    Mancebo, Francisco J.
    Vega, Jose M.
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2007, 137 : 41 - 62
  • [5] A boundary expansion of solutions to nonlinear singular elliptic equations
    Jian, Huaiyu
    Lu, Jian
    Wang, Xu-Jia
    [J]. SCIENCE CHINA-MATHEMATICS, 2022, 65 (01) : 9 - 30
  • [6] Singular Solutions of Fully Nonlinear Elliptic Equations and Applications
    Armstrong, Scott N.
    Sirakov, Boyan
    Smart, Charles K.
    [J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2012, 205 (02) : 345 - 394
  • [7] Singular viscosity solutions to fully nonlinear elliptic equations
    Nadirashvili, Nikolai
    Vladut, Serge
    [J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2008, 89 (02): : 107 - 113
  • [8] Positive solutions for nonlinear singular superlinear elliptic equations
    Bai, Yunru
    Gasinski, Leszek
    Papageorgiou, Nikolaos S.
    [J]. POSITIVITY, 2019, 23 (04) : 761 - 778
  • [9] Singular Solutions of Fully Nonlinear Elliptic Equations and Applications
    Scott N. Armstrong
    Boyan Sirakov
    Charles K. Smart
    [J]. Archive for Rational Mechanics and Analysis, 2012, 205 : 345 - 394
  • [10] Positive solutions for nonlinear singular superlinear elliptic equations
    Yunru Bai
    Leszek Gasiński
    Nikolaos S. Papageorgiou
    [J]. Positivity, 2019, 23 : 761 - 778