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Convergence Results of A Local Minimax Method for Finding Multiple Critical Points  (Make Corrections)  (4 citations)
Yongxin Li, Jianxin Zhou



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Abstract: In [14], a new local minimax method that characterizes a saddle point as a solution to a local minimax problem is established. Based on the local characterization, a numerical minimax algorithm is designed for finding multiple saddle points. Numerical computations of many examples in semilinear elliptic PDE have been successfully carried out to solve for multiple solutions. One of the important issues remains unsolved, i.e., the convergence of the numerical minimax method. In this paper, ... (Update)

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BibTeX entry:   (Update)

Y. Li and J. Zhou, "Convergence results of a local minimax method for finding multiple critical points", submitted. http://citeseer.ist.psu.edu/408723.html   More

@misc{ li-convergence,
  author = "Y. Li and J. Zhou",
  title = "Convergence results of a local minimax method for finding multiple critical
    points",
  text = "Y. Li and J. Zhou, Convergence results of a local minimax method for finding
    multiple critical points, submitted.",
  url = "citeseer.ist.psu.edu/408723.html" }
Citations (may not include all citations):
61   Symmetry and related properties via the maximum principle (context) - Gidas, Ni - 1979
48   Minimax Method in Critical Point Theory with Applications to.. (context) - Rabinowitz - 1986
39   Dual variational methods in critical point theory and applic.. (context) - Ambrosetti, Rabinowitz - 1973
34   Variational Methods (context) - Struwe - 1996
23   Critical Point Theory and Hamiltonian Systems (context) - Mawhin, Willem - 1989
22   Infinite Dimensional Morse Theory and Multiple Solution Prob.. (context) - Chang - 1993
19   the existence of positive entire solutions of a semilinear e.. (context) - Ding, Ni - 1986
18   A mountain pass method for the numerical solution of semilin.. (context) - Choi, McKenna - 1993
17   Minimax Theorems (context) - Willem - 1996
13   A minimax method for finding multiple critical points and it.. - Li, Zhou
13   A high linking method for sign changing solutions for semili.. (context) - Ding, Costa et al. - 1999
13   Algorithms and Visualization for Solutions of Nonlinear Elli.. - Chen, Ni et al. - 2000
12   Remarks on Finding Critical Points (context) - Brezis, Nirenberg - 1991
11   Some Aspects of Semilinear Elliptic Equations (context) - Ni - 1987
11   Recent progress in semilinear elliptic equations (context) - Ni - 1989

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Documents on the same site (http://www.math.tamu.edu/~j.zhou/selpubs.html):   More
Instability Analysis of Saddle Points by a Local Minimax Method - Zhou   (Correct)
Control of Nonlinear Distributed Parameter Systems - Chen, Lasiecka, (eds.)   (Correct)
A Local Min-Orthogonal Method for Finding Multiple Saddle Points - Zhou   (Correct)

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