Multi-peak solutions for a class of degenerate elliptic equations

被引：0
|
作者：
Giacomini, A
Squassina, M
机构：
[1] Scuola Int Super Studi Avanzati, I-34014 Trieste, Italy
[2] Politecn Milan, Dipartimento Matemat F Brioschi, I-20133 Milan, Italy
来源：
ASYMPTOTIC ANALYSIS | 2003年 / 36卷 / 02期
关键词：
multi-peak solutions; degenerate elliptic equations; nonsmooth critical point theory; Palais-Smale condition; Pohozaev-Pucci-Serrin identity;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By means of a penalization argument due to del Pino and Felmer, we prove the existence of multi-spike solutions for a class of quasilinear elliptic equations under natural growth conditions. Compared with the semilinear case some difficulties arise, mainly concerning the properties of the limit equation. The study of concentration of the solutions requires a somewhat involved analysis in which a Pucci-Serrin type identity plays an important role.
引用
收藏
页码：115 / 147
页数：33
相关论文
共 50 条
  • [1] Multi-peak positive solutions to a class of Kirchhoff equations
    Luo, Peng
    Peng, Shuangjie
    Wang, Chunhua
    Xiang, Chang-Lin
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2019, 149 (04) : 1097 - 1122
  • [2] Multi-peak solutions for a class of nonlinear Schrodinger equations
    Pistoia, A
    [J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2002, 9 (01): : 69 - 91
  • [3] Multi-peak solutions for a class of nonlinear Schrödinger equations
    Angela Pistoia
    [J]. Nonlinear Differential Equations and Applications NoDEA, 2002, 9 : 69 - 91
  • [4] LOCAL UNIQUENESS OF MULTI-PEAK SOLUTIONS TO A CLASS OF KIRCHHOFF EQUATIONS
    Li, Gongbao
    Niu, Yahui
    Xiang, Chang-Lin
    [J]. ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2020, 45 : 121 - 137
  • [5] Multi-peak Solutions of a Class of Fractional p-Laplacian Equations
    Xiaojun Chang
    Yohei Sato
    Chengxiang Zhang
    [J]. The Journal of Geometric Analysis, 2024, 34
  • [6] Multi-peak Solutions of a Class of Fractional p-Laplacian Equations
    Chang, Xiaojun
    Sato, Yohei
    Zhang, Chengxiang
    [J]. JOURNAL OF GEOMETRIC ANALYSIS, 2024, 34 (01)
  • [7] Normalized Multi-peak Solutions to Nonlinear Elliptic Problems
    Chen, Wenjing
    Huang, Xiaomeng
    [J]. JOURNAL OF GEOMETRIC ANALYSIS, 2024, 34 (03)
  • [8] Normalized Multi-peak Solutions to Nonlinear Elliptic Problems
    Wenjing Chen
    Xiaomeng Huang
    [J]. The Journal of Geometric Analysis, 2024, 34
  • [9] The Existence and Local Uniqueness of Multi-Peak Solutions to a Class of Kirchhoff Type Equations
    Leilei Cui
    Jiaxing Guo
    Gongbao Li
    [J]. Acta Mathematica Scientia, 2023, 43 : 1131 - 1160
  • [10] Local uniqueness of multi-peak solutions to a class of Schrodinger equations with competing potential
    Niu, Yahui
    Tian, Shuying
    Yang, Pingping
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2023, 64 (03)
12345