Rayleigh Quotients of the Level Set Manifolds Related to the Nonlinear PDE

被引：0
|
作者：
Il'yasov, Yavdat [1 ,2 ]
机构：
[1] Russian Acad Sci, Inst Math, Ufa Fed Res Ctr, Ufa, Russia
[2] Univ Fed Goias, Inst Matemat, Goiania, Brazil
来源：
MINIMAX THEORY AND ITS APPLICATIONS | 2022年 / 7卷 / 02期
关键词：
Nehari manifold; NG-Rayleigh quotient; energy level set; zero frequency problem; ENERGY NODAL SOLUTIONS; POSITIVE SOLUTIONS; ELLIPTIC-EQUATIONS; WEAK SOLUTIONS; REGULARITY; EXISTENCE; BOUNDARY; PRINCIPLE; OPERATOR; CONCAVE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main topic of this note is a discussion of applicability conditions of the Nehari manifold method depending on the value of parameters of equations. As the main tool, we apply the nonlinear generalized Rayleigh quotient method.
引用
收藏
页码：277 / 302
页数：26
相关论文
共 50 条
  • [1] Nonlinear Rayleigh Quotients and Nonlinear Spectral Theory
    Chiappinelli, Raffaele
    SYMMETRY-BASEL, 2019, 11 (07):
  • [2] SEPARATING SOLUTIONS OF NONLINEAR PROBLEMS USING NONLINEAR GENERALIZED RAYLEIGH QUOTIENTS
    Carvalho, Marcos Leandro
    Il'yasov, Yavdat
    Santos, Carlos Alberto
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2021, 58 (02) : 453 - 480
  • [3] Nonlinear Shape Manifolds as Shape Priors in Level Set Segmentation and Tracking
    Prisacariu, Victor Adrian
    Reid, Ian
    2011 IEEE CONFERENCE ON COMPUTER VISION AND PATTERN RECOGNITION (CVPR), 2011,
  • [4] Variational and PDE level set methods
    B. Jüttler
    H. Pottmann
    O. Scherzer
    Computing, 2007, 81 : 107 - 108
  • [5] Variational and PDE level set methods
    Juettler, B.
    Pottmann, H.
    Scherzer, O.
    COMPUTING, 2007, 81 (2-3) : 107 - 108
  • [6] Min-Max Principles with Nonlinear Generalized Rayleigh Quotients for Nonlinear Equations
    Il’yasov Y.S.
    Muravnik A.B.
    Journal of Mathematical Sciences, 2022, 260 (6) : 738 - 747
  • [7] RIEMANNIAN OPTIMIZATION ON TENSOR PRODUCTS OF GRASSMANN MANIFOLDS: APPLICATIONS TO GENERALIZED RAYLEIGH-QUOTIENTS
    Curtef, O.
    Dirr, G.
    Helmke, U.
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2012, 33 (01) : 210 - 234
  • [8] A Nonlinear Eigenvalue Problem Associated with the Sum-Of-Rayleigh-Quotients Maximization
    Zhang, Lei-Hong
    Chang, Rui
    CSIAM TRANSACTIONS ON APPLIED MATHEMATICS, 2021, 2 (02): : 313 - 335
  • [9] Level set and density estimation on manifolds
    Cholaquidis, Alejandro
    Fraiman, Ricardo
    Moreno, Leonardo
    JOURNAL OF MULTIVARIATE ANALYSIS, 2022, 189
  • [10] A few symmetry results for nonlinear elliptic PDE on noncompact manifolds
    Almeida, L
    Damascelli, L
    Ge, YX
    ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2002, 19 (03): : 313 - 342
12345