On some problems related to De Giorgi's Conjecture

被引:2
|
作者
Gui, CF [1 ]
机构
[1] Univ Connecticut, Storrs, CT 06268 USA
关键词
D O I
10.3934/cpaa.2003.2.101
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the uniqueness of minimizers for the Allen-Cahn energy and the nonexistence of monotone stationary solutions for the Allen-Cahn equation with double well potentials of different depths.
引用
收藏
页码:101 / 106
页数:6
相关论文
共 50 条
  • [31] Local minimizer and De Giorgi’s type conjecture for the isotropic–nematic interface problem
    Jiajie Chen
    Pingwen Zhang
    Zhifei Zhang
    Calculus of Variations and Partial Differential Equations, 2018, 57
  • [32] Crouzeix’s Conjecture and Related Problems
    Kelly Bickel
    Pamela Gorkin
    Anne Greenbaum
    Thomas Ransford
    Felix L. Schwenninger
    Elias Wegert
    Computational Methods and Function Theory, 2020, 20 : 701 - 728
  • [33] Crouzeix's Conjecture and Related Problems
    Bickel, Kelly
    Gorkin, Pamela
    Greenbaum, Anne
    Ransford, Thomas
    Schwenninger, Felix L.
    Wegert, Elias
    COMPUTATIONAL METHODS AND FUNCTION THEORY, 2020, 20 (3-4) : 701 - 728
  • [34] Local minimizer and De Giorgi's type conjecture for the isotropic-nematic interface problem
    Chen, Jiajie
    Zhang, Pingwen
    Zhang, Zhifei
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2018, 57 (05)
  • [35] Reverse approximation of gradient flows as Minimizing Movements: a conjecture by De Giorgi
    Fleissner, Florentine
    Savare, Giuseppe
    ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2020, 20 (02) : 677 - 720
  • [36] Towards a counter-example to a conjecture of de Giorgi in high dimensions
    Jerison D.
    Monneau R.
    Annali di Matematica Pura ed Applicata, 2004, 183 (4) : 439 - 467
  • [37] On the De Giorgi Type Conjecture for an Elliptic System Modeling Phase Separation
    Wang, Kelei
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2014, 39 (04) : 696 - 739
  • [38] On the Anderson-Lipman conjecture and some related problems
    Jaradat, MMM
    DISCRETE MATHEMATICS, 2005, 297 (1-3) : 167 - 173
  • [39] On some problems related to the Hilbert-Smith conjecture
    Dranishnikov, A. N.
    SBORNIK MATHEMATICS, 2016, 207 (11) : 1562 - 1581
  • [40] De Giorgi's approach to hyperbolic Cauchy problems: The case of nonhomogeneous equations
    Tentarelli, Lorenzo
    Tilli, Paolo
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2018, 43 (04) : 677 - 698