Double blow-up solutions for a Brezis-Nirenberg type problem

被引:18
|
作者
Musso, M [1 ]
Pistoia, A
机构
[1] Politecn Torino, Turin, Italy
[2] Univ Roma La Sapienza, Rome, Italy
关键词
critical Sobolev exponent; blowing-up solution; Robin's function;
D O I
10.1142/S0219199703001099
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we construct a domain 0 for which the problem {-Deltau = u N+2/N-2 -epsilonu in Omega u > 0 in Omega u = 0 on partial derivativeOmega has a family of solutions which blow-up and concentrate in two different points of Omega as epsilon goes to 0.
引用
收藏
页码:775 / 802
页数:28
相关论文
共 50 条
  • [1] Blow-up and nonexistence of sign changing solutions to the Brezis-Nirenberg problem in dimension three
    Ben Ayed, Mohamed
    El Mehdi, Khalil
    Pacella, Filomena
    ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2006, 23 (04): : 567 - 589
  • [2] Critical functions and blow-up asymptotics for the fractional Brezis-Nirenberg problem in low dimension
    De Nitti, Nicola
    Konig, Tobias
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2023, 62 (04)
  • [3] ON A BREZIS-NIRENBERG TYPE PROBLEM
    Catrina, Florin
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2006,
  • [4] EXISTENCE OF SOLUTIONS FOR THE BREZIS-NIRENBERG PROBLEM
    De Paiva, Francisco O.
    Miyagaki, Olimpio H.
    Presoto, Adilson E.
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2023, 61 (02) : 651 - 659
  • [5] MULTIPLE SOLUTIONS FOR THE BREZIS-NIRENBERG PROBLEM
    Clapp, Monica
    Weth, Tobias
    ADVANCES IN DIFFERENTIAL EQUATIONS, 2005, 10 (04) : 463 - 480
  • [6] On the Brezis-Nirenberg Problem
    Schechter, M.
    Zou, Wenming
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2010, 197 (01) : 337 - 356
  • [7] On a Brezis-Nirenberg type quasilinear problem
    Guo, Yuxia
    Liu, Jiaquan
    Wang, Zhi-Qiang
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (01) : 719 - 753
  • [8] Existence of concentrating solutions of the Hartree type Brezis-Nirenberg problem
    Yang, Minbo
    Ye, Weiwei
    Zhao, Shunneng
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 344 : 260 - 324
  • [9] The Brezis-Nirenberg type double critical problem for the Choquard equation
    Cai, Li
    Zhang, Fubao
    PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2020, 1 (05):
  • [10] On the Location of Blow up Points of Least Energy Solutions to the Brezis-Nirenberg Equation
    Takahashi, Futoshi
    FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 2004, 47 (01): : 145 - 166